![]() ![]() This is an ideal free school picture background app since there’s no risk of losing your original images while editing. You can do some basic photo editing or use any of the multiple FX Looks to enhance your pictures – all these edits are non-destructive, so you can keep the original image safe. Each image becomes a layer that you can blend or adjust to get more realistic results. You can cut out subjects from the background or remove sections from a photo to merge with other images. ![]() It allows you to work on layers like you would in the original Photoshop. Photoshop Mix is much more than a background eraser or a background changer. Unlike the desktop version, all Photoshop apps are free to download without any hidden fees – you do need to sign in with an Adobe account though. What’s the best app to turn photos into cartoons?.It also allows for text editing to make a meme or add your Instagram handle in your quest to get more followers! The app also includes a crop tool with the default sizes of most social media platforms – this way, you can easily turn your creation into a YouTube thumbnail or a profile picture for social media. You can also add a background to your headshot which can be a solid color, an uploaded photo from your library, or one of the graphics and photos available on the app – many of them are free for others, you have to upgrade to the PRO version. You can save the image as transparent PNG to keep your new image without a background so you can use it as a sticker for WhatsApp or in a photo montage.Įxporting an image to PNG allows you to use Background Eraser as a green or blue picture background app for more complicated CG edits back on your desktop. You can erase photo backgrounds using AI Cutout, drawing a selection around the subject or using one of the default shapes. This free background changer app is very easy to use, and it has most of its features available for free. Background Eraser – Remove Image Background The app is clean, intuitive and all-around a great option not only for seamless background removal but all your essential editing needs.Ģ. Once you remove the background, you can then further enhance the photo by applying a solid background color, adjusting its colors and, of course, cropping, resizing and recomposing the photo to your liking.Īnd with its 4+ million stock photos, there’s no shortage of replacement backgrounds to choose from if that’s what you’re after. This is the appropriate software to change the background of images, but it’s a photo background changer app that is for PC only which limits its overall utility. The tool does a great job at auto-identifying the subject and separating it from the background. The one-click application to change the background of a photo utilizes the power of AI to simplify the process of removing any unwanted background from your images in seconds. However, if you prefer to do it with a desktop photo editor, here’s a guide.Ĭolorcinch is exceptionally easy to use and delivers some of the most precise results on the web. We’ve considered all these features as well as the ease of use to select the best 6 phone apps to do the job. Accuracy and smoothness: How accurate is the automatic remover? Does it have more tools to refine the cutout? Can you do it manually? This is the most important part to consider.Change picture background: Does the app allow you to add a new photo as background, or does it only add solid colors? If you can add a picture background, does it have an in-app camera?.For this, it needs to allow for PNG saving. Transparent background: Many apps allow you to change the image background, but they won’t allow you to leave the subject on a transparent one.All the tools included: Whether or not you can do some basic photo editing to enhance the picture, crop it, etc.,.In this roundup, I’ll tell you some of the best ones for iOS and Android.īefore you decide which backdrop app for photos is the choice best for you, here are some of the features you should look for: Since many people take their photos on a smartphone, there are many apps available on Google Play and the Apple App Store to help you achieve this effect. Easy to use software for removing, swapping or adding a background to any photo with just one click. ![]()
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![]() ![]() Don't worry if your plans change-using a template makes it easy to revisit your designs and make updates in the future. Print out your design or share it digitally with your coworkers or family members. Once you've created your perfect planner or tracker, get ready for a productivity boost. ProjectManager’s free dashboard template for. A dashboard is how you keep track of your work, including the time spent on tasks, what you’re spending and if you’re making progress as planned. Try out new fonts and design elements that match your personal aesthetic. We’ve collected ProjectManager’s 15 best Excel spreadsheet templates for tracking that you can download and use for free. If you're using a planner for work, add custom branding like your business's logo or color palette. Choose a planner or tracker template and customize it to fit your unique needs. Setting ambitious goals for next year? Use a tracker template to measure your progress and see how far you've come. Whether your run your own online business or need to plan out your busy social calendar, creating a personalized planner makes life easier. It's not easy staying organized these days, but using the right tools helps you prioritize and remember your most important tasks. Maximize your productivity at work and home using free, customizable templates. In the end, all you need to do is repeat the same process each month and take into consideration any new savings goals or expenditures you may encounter in the future.Create Business budgets Invoices Payroll Employee recognition Employee training Hiring and recruitment Business timesheets Brochures Business cards Contests Flyers Newsletters Open house Pamphlets Posters Sales Agendas Minutes Presentations Gantt charts Memo Pitch decks Surveys Planners and trackers Back to school College tools Graduation Papers and reports Class posters Lesson plans Student awards and certificates Teacher communication Teacher presentations Decorations Event flyers Event posters Invitations Holiday Anniversary Baby announcements Birthday Memorials Wedding Health and workout trackers Journaling Positive affirmations Calculators Kids activities Labels Letters Lists Personal budgeting Cover letters Resumes Coloring books and pages Floral and garden Menus Photo albums Scrapbooking Travel Volunteering Writing Facebook Facebook ad Facebook cover Facebook post Facebook story Instagram Instagram post Instagram story LinkedIn Pinterest Pinterest ad pin Pinterest pin TikTok Twitter Twitter header Video YouTube Designer Word Excel PowerPoint Forms Clipchamp Loop Learn & grow NET INCOME, after taking into account your savings goal and monthly expenditure. ![]() It will provide you with the amount you are left with i.e. Once all these values have been entered, your summary table will be ready too! The best practice would be to put in place money for these expenses so that you are prepared for it.Įnter amounts for each of these expenses.Įxcel will automatically calculate the percentage allocation for the expenses categories and the TOTAL monthly expenses as well. In the Expenses section, there are different categories mentioned like home, food, health, transportation, debt, entertainment, personal care, etc. The next step would be to list down where you spend your money each month. The amount in dollar terms for each Saving & Investment and the TOTAL savings amount will be automatically calculated in Excel. This proficient worksheet aids in tracking and calculating various costs, including fees, tax, depreciation, overhead costs, and bad debt expense, supporting your budgeting and cost. Enter the percentage of your income you want to save. Here’s our Expense Analysis Excel Template for you to record monthly target and actual costs and make comparisons to see the target realization percentages. You need to determine the amount you wish to put aside for different milestones in the future. Next, you should plan your savings for different purposes based on your income and expenses. The total income will automatically be calculated and displayed in cell F7 – $6350. If you have your own business but the income is not constant, you can take an average of your past 6 months and enter that amount.įor example, you can enter a salary income in cell F4 – $5,000, extra income from part-time jobs in cell F5 – $850, and income from investments in cell F6- $500. Let’s look into each of these steps one-by-one!ĭownload this Excel workbook and follow this tutorial on how to make a budget spreadsheet in Excel:īegin using this template by entering the different sources of your monthly income.įor a person with a salary, simply enter your monthly salary (post-tax) and income from other part-time jobs or passive income streams. ![]() ![]() I also have a mentor, and I can’t recommend that enough.Īnd I read. (Need one? Drop me a line and I’ll recommend you.) I pay them to help me think through these mental models, to help me understand where I need to watch for potholes. And he needs me, to be confident when it’s warranted. But I need him to do that, as much as I tease him. I’m not anxious or suspicious I always think the deal will go through. He’s the one that always spots the problems, the red flags. There’s this “negative Nelly” on my team. But I don’t have those, so I need to put other safeguards in place. You could also call my overconfidence “ optimism bias ” – essentially a “mistaken belief that our chances of experiencing negative events are lower and our chances of experiencing positive events are higher than those of our peers.” It’s like being a teenager – you just don’t quite understand that one mistake behind the wheel of a car can, in fact, leave you vulnerable.Īnger – or anxiety – could help me double-check that impulse. But as a friend of mine says, “you can never out give a giver, but you can never give a taker enough.” To believe my own story, believe in their potential, believe that they can fix this. If you have a problem situation with the client, it’s easier to tap into my capacity for joy and love. I’ve done this business for 23 years, so I have been right, 99% of the time, most years. In our business, we need to be right 99% of the time. Sometimes your story is so good, it’s hard not to fall for your own bulls**t. The biggest, for me, is confirmation bias. This leads me back to my story, and the two mental models – or biases – I struggle with most. (By the way, while the test I took isn’t available publicly, this one is similar. I answered a lot of questions, and it came up with a profile that confirmed what I suspected: while my empathy for others was through the roof, my access to my own feelings – particularly anger and anxiety – was very low. Not long ago, I took an emotional intelligence (“EQ”) test through my mentor. You can’t really use these tools until you know your own weaknesses – the biases you’re most prone to. “Once you have a name for something, you can spot it, and you can use it,” Gabriel Weinberg says in this great podcast about mental models. Think of mental models like cross-training your body in the gym, except you’re training your head. But you’re missing the island on the other side.įor example, did you know about “Hanlon’s razor” ? “Never attribute to malice that which can be adequately explained by stupidity.” I like that one. Sure, you can see pretty far on a clear day. Relying on one mental model – or the ones you know and grew up with – is like limiting your perspective to a single porthole on a ship. (The simplest answer is often the best!)īut you should never have just one. Occam’s razor, for example – we all know that one. You probably already have a few mental models in your head. I went with my gut, and my gut was wrong – because it was weighed down with cognitive biases I hadn’t considered. These are the potholes that using mental models can help us avoid. I saw what I wanted to see because I was too confident in my ability to spot problems, assess truth. I had fallen into two common traps: I was overconfident, and I had confirmation bias. I didn’t know he’d be the reason I’d have to talk to law enforcement. I didn’t know he’d go on to attempt the same fraud with someone else. I should have thrown him out of my office window. ![]() When he said he regretted it, that he wanted to change, I believed him – even though I had to fire him. I hadn’t helped him “unleash his potential” I would never do something like this, there must have been a mistake, he must have made a mistake. So when I found out he was complicit in fraud, I didn’t feel violated I didn’t feel angry. He was the definition of “team player you don’t worry about.” He showed up, he produced. He’d been there with me at the beginning. There was an employee I had worked with for a long time. “I should have thrown him out the window” Let me tell you a story about decisions, anxiety and anger, and biases. They’re what Charlie Munger calls “an operating system for life.” Something that’s repeatable, that lets us take our personal biases out of the question – or our deficiencies. Mental models – like this one – help us build those decisions on a framework. How should I react when someone lets me down? What do I wear? Does this email require my attention? Lately, though, I’ve been rethinking whether it’s an advantage – or whether it’s a liability, in ways I hadn’t really considered. ![]() It helped, too, when there were problems I didn’t overreact, didn’t let it keep me up at night. It certainly helped when I was building a company. That’s just how I’m wired I always thought it was a good thing, an advantage. ![]() ![]() ![]() The applications are available, but they will be not updated anymore. Click the Apple menu ( ) at the top of your screen and choose About This Mac. The development of the old versions is discontinued. The macOS version you can upgrade to depends on the year your Mac was released. Requirements: Intel-based Mac or Mac with Apple silicon using macOS Sonoma 14. Use the correct version, and don't try to use a version intended for an earlier operating system. An illustration of a heart shape 'Donate to the archive' An illustration of a magnifying glass. Type or paste one of the commands below Each command assumes that the installer is in your Applications folder and MyVolume is the name of the USB flash drive or other volume youre. We will keep fighting for all libraries - stand with us A line drawing of the Internet Archive headquarters building façade. Addresses a graphic issue that may occur on iMac (Retina 5K, 27-inch, 2020. Fixes an issue that could prevent files syncing through iCloud Drive. Resolves an issue where macOS would not automatically connect to Wi-Fi networks. Note: This theme pack has some minor issues which we hope will be fixed in a future release. MacOS Catalina (Lite) MacOS Catalina (Lite) applied to Windows 11. Open Terminal, which is in the Utilities folder of your Applications folder. macOS Catalina 10.15.7 provides important security updates and bug fixes for your Mac. Note that you will need to register on the website (for free) to download this theme. There is a specific version of OnyX for each major version of the operating system. Use Terminal to create the bootable installer. OnyX is a reliable application which provides a clean interface to many tasks that would otherwise require complex commands to be typed using a command-line interface. Internet Download Manager tool that will help you enhance your downloading speed. ![]() So, here is a tool that you can use to speed up the download process. OnyX is a multifunction utility that you can use to verify the structure of the system files run miscellaneous maintenance and cleaning tasks configure parameters in the Finder, Dock, Safari, and some Apple applications delete caches remove certain problematic folders and files rebuild various databases and indexes and more. Download & Install macOS Catalina on your Apple Mac, MacBook Pro, MacBook Air > Now select the Time Machine option. macOSCatalina10.1519A583 by techrechard () The DMG file is around 7.56 GB, so you will need a good internet connection to download the Download macOS Catalina DMG file. ![]() ![]() ![]() You can use text, DVD, and Blu-ray subtitles in Potplayer: SMI, SRT, Vobsub, etc. ![]() The program uses OpenCodec to let you add additional codecs that may not already be in the system. Potplayer is an elegant media player that comes with plenty of built-in codecs that let you instantly play audio and video content in an easy-to-use UI. Developed by the South Korean company Kakao, which was previously called Daum, Potplayer supports DVD, HDTV, and TV devices. While Potplayer is not cross-platform, the software is available for Windows PC computers and laptops on Windows 10, Windows 8, Windows 7, Windows Vista, and Windows XP 32-bit and 64-bit operating systems. The Potplayer download is safe to install onto PCs. You can only download Potplayer on Windows PC devices. Pot player is lightweight and does not use a lot of storage space on computers and laptops. The freeware supports a variety of subtitle formats, codecs, and 3D viewing experiences. You can watch videos and listen to audio on this powerful application. It is highly likely that this software program is malicious or has security issues or other reasons.Potplayer is a free media player that is filled with features. This software is no longer available for download. These could be false positives, and our users are advised to be careful when installing and using this software. These may include a toolbar, changing your homepage, default search engine, or installing other party programs. This program is advertising supported and may offer to install third-party programs that are not required. And there is no third-party softwarebundled. We scanned files and URLs associated with this software program in more than 60 of the world's leading antivirus services no possible threats were found. It is highly likely that this software program is clean. Based on this checking, we set the following security levels for any downloadable files. To avoid any potential harm to your device and ensure the security of your data and privacy, our team checks every time a new installation file is uploaded to our servers or linked to a remote server and periodically reviews the file to confirm or update its status. Regular updates and active community support for continuous improvement and bug fixes.Integrated 3D video playback for immersive viewing experience.Screen capture and recording capabilities for capturing video and audio content.Advanced playlist management for easy organization and playback of media files.Comprehensive subtitle support with options for customization.Built-in codecs for seamless playback without the need for external codecs.Rich audio and video settings for enhanced viewing and listening experience.Advanced playback options, including frame-by-frame navigation and playback speed control.Customizable user interface with various skins and themes.High-performance media player with support for a wide range of audio and video formats.It also provides regular updates with bug fixes and new features, ensuring that users have access to the latest enhancements. It also offers a wide range of playback controls, including playback speed control, A-B repeat, and bookmarking, making it suitable for both casual and professional users.ĭespite its rich feature set, Daum Potplayer is known for its simple and intuitive user interface, making it accessible to users of all levels of expertise. In addition to its playback capabilities, Daum Potplayer also supports advanced features such as 3D playback, screen capture, and streaming of online content. The player also supports skinning, which means users can change the look and feel of the player's interface to match their style. Users can adjust video and audio settings, apply filters and effects, and customize keyboard shortcuts to suit their preferences. This makes it a convenient choice for users who want a single multimedia player that can handle a wide range of file types.ĭaum Potplayer also offers a plethora of customization options, allowing users to personalize their playback experience. One of the key features of Daum Potplayer is its ability to play various multimedia formats, including audio, video, and subtitles, without the need for external codecs. Daum Potplayer has gained popularity among users for its wide range of supported formats, smooth playback performance, and extensive customization options. Potplayer is a multimedia player software for Windows that is known for its versatility and advanced features. ![]() ![]() ![]() ![]() Modify shop data / footer / disclaimer etc.Copy the templates to your theme folder and you don’t have to worry that your customizations will be overwritten when you update the plugin. In addition to a number of default settings (including a custom header/logo) and several layout fields that you can use out of the box, the plugin contains HTML/CSS based templates that allow for customization & full control over the PDF output. ![]() More advanced & stylish templates with PDF Invoices & Packing Slips for WooCommerce Premium Templates.Automatically send new orders or packing slips to your printer, as soon as the customer orders! WooCommerce Automatic Order Printing (from our partners at Simba Hosting).Create/email PDF Proforma Invoices, Credit Notes (for Refunds), email Packing Slips, automatic upload to Dropbox & more with PDF Invoices & Packing Slips for WooCommerce Professional.In addition to this, we offer several premium extensions: Available in: Czech, Dutch, English, Finnish, French, German, Hungarian, Italian, Japanese (see FAQ for adding custom fonts!), Norwegian, Portuguese, Polish, Romanian, Russian, Slovak, Slovenian, Spanish, Swedish & Ukrainian.Sequential invoice numbers – with custom formatting.Download invoices from the My Account page.Fully customizable HTML/CSS invoice templates.Generate PDF invoices / packings slips in bulk.Download the PDF or UBL Invoice / PDF Packing Slip from the order admin page.Automatically attach invoice PDF or UBL to WooCommerce emails of your choice.In addition, you can choose to download or print invoices and packing slips from the WooCommerce order admin. Includes a basic template (additional templates are available from WP Overnight) as well as the possibility to modify/create your own templates. May 13: I receive an email from [ that my license key was reactivated :)Īll-in-all, the actual product, Save Wizard, is great and adds a lot of fun but their customer service team must be well beyond overburdened.This WooCommerce extension automatically adds a PDF or UBL invoice to the order confirmation emails sent out to your customers.May 11 (>2 weeks after my original purchase): I sent yet another email to [ to inquire when my license key would be reissued or activated.May 2: I email [ to inform them the dispute was dropped.This meant I had to drop the dispute and forfeit any possibility of getting a refund, whether SW allowed me to use their product or not. May 1 (the following business day): I called PayPal and then my bank to give them the "okay" on the transaction.Apr 29: Email sent to [ Apr 30: Received response from [ stating that if the dispute was resolved in their favor or if I canceled the dispute, then they would restore my license key.Here's how it all ended up going down for me: I hope I'm wrong but at this point I imagine Save Wizard's support team will fail to get back to PayPal in the next 10 days and I'll get my money back due to no response on their part. I have a tough time wrapping my head around why the support team with Save Wizard would take zero action after finding issues raised. I see a reply in the SW Discord by a user "SaveWizard The Grey" which leads me to believe they work for Save Wizard. I called PayPal to see if I could reverse the dispute in hopes that doing so might "revalidate" my license key from SW but I hesitate to this as PayPal says "By marking this problem as resolved, you agree that no further problems can be raised for this transaction." The representative at PayPal adjusted the disputed claim to be labeled as "Not as described" (even though I think that's a stretch) and Data Power Development Limited (the seller of Save Wizard) has 10 days to respond to PayPal. Unfortunately, I haven't received any official replies from Save Wizard yet. I've attempted to reach out to Save Wizard (1) via email, (2) their Discord support server, (3) their FaceBook page, and (4) on here via their subreddit. ![]() ![]() ![]() If you live in England, for example, you won't be able to use the Hasbro Scrabble app to play a friend in Canada. You'll only be able to play the Scrabble application appropriate to your location.You'll need to have a Facebook account.Where to Play Scrabble Online For Free #2 Facebook Scrabble Games can be played to any Scrabble dictionary agreed on by you and your opponent.It is considered to be unethical to abandon games part way through, and players who acquire a reputation for doing this can be banned.If you would prefer a game where you can play moves at your leisure, you might prefer Facebook Scrabble or eMail Scrabble (both described on this page). Once a game has started, you play it right to the end in one session. You cannot put a Scrabble game on hold, and complete it in bits and pieces at your convenience.ISC supports Windows, Macintosh, and Linux operating systems.Here's what the Scrabble board will look like on your computer screen. There's some other stuff you may need/want to install on your machine, but it's all very clearly explained on the download page. This application will run on your computer and will enable you to connect to the ISC server (that's the computer at the other end that runs all the Scrabble games). Download an application called WordBiz.This just requires you to specify a username, a password, and an email address that will be used to identify you in the ISC community. ![]() The following instructions are all explained pretty clearly (and in more detail) at the ISC site, but I'll list them here just to give you an idea of what you're in for. Where to Play Scrabble Online For Free #1 I would be VERY interested to hear from you. The reviews should be polished very soon, but in the meantime if you have a comment to make about any of these options (or other online Scrabble games you know about) please drop me a line. NOTE - These reviews are only semi-complete so far, and for the most part are a collection of important notes. ![]() Either way, this page should have all the information you need. If you're a bit less confident with the online world, you'll probably appreciate some gentle backdrop. If you're Web-savvy, you'll probably just need to know where to go to get started. Here's where internet Scrabble comes into its own. Nor can you hop on a plane every time you feel like a game against your overseas friends and rellies. I mean, you can't just turn up at a friend's place at 3am, board in hand, and expect to see an understanding face at the door. The thing is, playing Scrabble online is not a replacement for real-world Scrabble - it's a wonderful addition. Sooner or later you become curious about all this talk of internet Scrabble. If you're like me, nothing beats a real face-to-face game of Scrabble with a good friend, on an old worn board, with sturdy wooden racks, a pen and paper for scoring, and a coffee or cold beer on the side. With each option I've described the prerequisites and some of the major pros and cons of each. Here are some of the best ways to play Scrabble online without paying a cent! ![]() ![]() ![]() While Cuphead and Mugman are functionally the same fighter, Ms. The side-scrolling stages never could square up to the dopamine hit the game’s signature boss battles bestowed upon the victorious, and you won’t have any of them block your short road to the new credits sequence. And, unless you liked the run n’ gun stages, it truly has something for everyone: because they’ve been justifiably ignored for Cuphead’s last hurrah. After five long years, Cuphead: The Delicious Last Course, has finally come along to top off the original release. Studio MDHR’s display of patience is not only reflected in their development process but in the final product as well. Hellish QuartĪnnounced back in 2018 and originally slated for a 2019 release, the DLC’s development suffered from numerous delays due to the mental stress on its small development team and, later, complications related to the covid-19 pandemic. It’s a relief, then, that its long-awaited DLC, “Cuphead: The Delicious Last Course,” not only builds upon the original but leaves your palate exhilarated and inspires confidence that the Michelin star chef who wowed you the first time didn’t just get lucky. There are expectations now, more so than there were when the run-and-gun shooter’s release shook the gaming world in 2017, and fans have been eager to see if the developer is going to be a one-hit-wonder. Studio MDHR’s debut title, “Cuphead,” sold millions of copies, won numerous awards, reinvigorated a popular game genre and blossomed into its own Netflix series. Some of the most spectacular 2D action-platformer bosses I’ve ever faced. Chalice is a fairly significant departure, especially for someone like me who has played the original campaign so many times. In the meantime, there’s a temporary fix for her not-being-alive problem: the Astral Cookie, a new charm that can be equipped to play as Ms. Chalice, Cuphead, and Mugman must collect the ingredients for the Wondertart from the bosses scattered across Inkwell Isle IV. The Legendary Chalice, a ghost who granted players Super Arts abilities in the main campaign, wants to come back to life. Chalice is a game-changer in The Delicious Last Course, so it’s not too surprising that the DLC’s story is centered around her. Chalice and multiple interesting new weapons/charms, The Delicious Last Course is a triumph that expands on the base game in clever ways while also improving the original campaign itself. Coupled with a creative new playable character in Ms. More than just visually impressive, though, the new boss fights are more exciting, dynamic, and mechanically diverse. The level of detail on display in the DLC’s handful of boss fights is simply mind-boggling. Somehow, Cuphead: The Delicious Last Course easily surpasses the pure artistic beauty of the base game. I still find new visual flourishes that I had never noticed before–split-second facial animations and the tiniest of details on the myriad objects and projectiles that fill the stages of frantic boss fights. I’ve played through Cuphead dozens of times over the past five years, and each time I appreciate its hand-drawn artistry even more. A year into the pandemic, game developers reflect on burnout, mental health and avoiding crunch. The story obviously isn’t the reason anyone is here, but it’s nonetheless charmingly told with quick cutscenes and more of the outstanding art that fans have come to expect. The catch, of course, is that they must collect its ingredients by defeating the powerful foes that are guarding them. To that end, Cuphead and his pal Mugman head towards a brand new isle where they’re told that Chef Saltbaker, the greatest chef in the land, is able to create a Wondertart that can permanently grant Ms. ![]() Chalice, a character who appeared in the main game only as a super-move-granting spirit, a real living and breathing cup person. The Delicious Last Course is all about making Ms. ![]() ![]() Cuphead The Delicious Last Course Free Download Repacklab ![]() ![]() ![]() Standard Form: y = ax 2 + bx + c, here a, b, and c are just numbers.Question 8: What are the three form of quadratic function?Īnswer: The three function are listed below which can be written as: These are the four general methods by which we can solve a quadratic equation. Question 7: Name of different method by which you can solve quadratic equation?Īnswer: There are various methods by which you can solve a quadratic equation such as: factorization, completing the square, quadratic formula, and graphing. An example of quadratic equation is 3x 2 + 2x + 1. Moreover, the standard quadratic equation is ax 2 + bx + c, where a, b, and c are just numbers and ‘a’ cannot be 0. In this formula, a, b, and c are number they are the numerical coefficient of the quadratic equation and ‘a’ is not zero a 0.Īnswer: Simply, a quadratic equation is an equation of degree 2, mean that the highest exponent of this function is 2. Question 5: What is the formula for solving quadratic equation?Īnswer: The general quadratic equation formula is “ax 2 + bx + c”. Hence, from the quadratic formula, we have: Question 4: Find the value of x: 27 x 2 − 12 = 0Ī) 2/3 B) ± 2/3 C) Ambiguous D) None of theseĪnswer : B) Here, a = 27, b = 0 and c = -12. Therefore, x = − 1 More Solved Examples For You The below image illustrates the best use of a quadratic equation.ĭiscriminant = b 2 − 4ac = 22 − 4×1×1 = 0 The quantity in the square root is called the discriminant or D. Just plug in the values of a, b and c, and do the calculations. We define it as follows: If ax 2 + bx + c = 0 is a quadratic equation, then the value of x is given by the following formula: This is the general quadratic equation formula. A method that will work for every quadratic equation. ![]() For such equations, a more powerful method is required. There are equations that can’t be reduced using the above two methods. This is known as the method of completing the squares. x – 3 = ☖ Which gives us these equations:.(x-3) 2 = 36 Take square root of both sides.Now we can write it as a binomial square: (b/2) 2 where ‘b’ is the new coefficient of ‘x’, to both sides as: x 2 – 6x + 9 = 27 + 9 or x 2 – 2×3×x + 32 = 36. Next, we make the left hand side a complete square by adding (6/2) 2 = 9 i.e. So dividing throughout by the coefficient of x 2, we have: 2x 2/2 – 12x/2 = 54/2 or x 2 – 6x = 27. In the next step, we have to make sure that the coefficient of x 2 is 1. In the standard form, we can write it as: 2x 2 – 12x – 54 = 0. Next let us get all the terms with x 2 or x in them to one side of the equation: 2x 2 – 12 = 54 Solution: Let us write the equation 2x 2=12x+54. Let us see an example first.Įxample 2: Let us consider the equation, 2x 2=12x+54, the following table illustrates how to solve a quadratic equation, step by step by completing the square. If we could get two square terms on two sides of the quality sign, we will again get a linear equation. In those cases, we can use the other methods as discussed below.īrowse more Topics under Quadratic Equationsĭownload NCERT Solutions for Class 10 Mathematics Completing the Square MethodĮach quadratic equation has a square term. This method is convenient but is not applicable to every equation. Solving these equations for x gives: x=-4 or x=1. Thus we have either (x+4) = 0 or (x-1) = 0 or both are = 0. ![]() For any two quantities a and b, if a×b = 0, we must have either a = 0, b = 0 or a = b = 0. Thus, we can factorise the terms as: (x+4)(x-1) = 0. Hence, we write x 2 + 3x – 4 = 0 as x 2 + 4x – x – 4 = 0. Consider (+4) and (-1) as the factors, whose multiplication is -4 and sum is 3. We do it such that the product of the new coefficients equals the product of a and c. Next, the middle term is split into two terms. Solution: This method is also known as splitting the middle term method. Examples of FactorizationĮxample 1: Solve the equation: x 2 + 3x – 4 = 0 Let’s see an example and we will get to know more about it. Hence, from these equations, we get the value of x. These factors, if done correctly will give two linear equations in x. Certain quadratic equations can be factorised. To determine the number of solutions of each quadratic equation, we will look at its discriminant.The first and simplest method of solving quadratic equations is the factorization method. \)ĭetermine the number of solutions to each quadratic equation. ![]() ![]() Decide what skill you want to impart to students. While you can create complex worksheets, you should keep the main focus on the material. The fundamental design elements are outlined below. The process of creating a printable worksheet is easy if you understand the fundamentals of design. You can also upload your own worksheets to sites like SchoolMyKids which offers free printable worksheets for teachers and schools. Parents love free worksheets to help their kids learn and develop their skills. For young children, it is useful to look for printable activities that will help them master concepts. 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Parents can use these worksheets to evaluate their children at the beginning and at the end in the academic year. Parents can also benefit from the worksheets. Written by educators, these worksheets are great resources for teachers. But what exactly is a printable worksheet? I hope this article solved this issue. Worksheets come in a wide range of formats and they help make learning more enjoyable and exciting for kids. In these situations, printable worksheets become the best choice for parents looking to give extra motivation to their children's education. However, the majority of children are inclined to resist these practices. Parents understand that the best way to increase their kids academic performance is to practicing. So, your children will be happy and engaged while they work on the worksheets. ![]() In addition, they are an easy way to keep track of important dates, such as birthdays. 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