Completing the Square: Algebra

Want to learn the ins and out of completing the square?  Then you’ve come to the right place! Learn how to Complete the Square step by step in the video and article below, then try the practice problems at the end of this post to truly master the topic! If you’re looking for more on completing the square, check out this post here. Happy Calculating! 🙂 Check out the video below for an in-depth look at completing the square:
Completing the square To answer this question, there are several steps we must follow including: Step 1: Move the whole number, which in this case is 16, to the other side of the equation.This image has an empty alt attribute; its file name is Screen-Shot-2020-12-25-at-6.07.43-PM.png This image has an empty alt attribute; its file name is Screen-Shot-2020-12-25-at-6.08.19-PM.png Step 2: Make space for our new number on both sides of the equation.  This number is going to be found by using a particular formula shown below: Completing the square Step 3: Add the number 9 to both sides of the equation, which we found using our formula. Completing the square Step 4: Combine like terms on the right side of the equation, adding 16+9 to get 25. Completing the square Step 5: Now, we need to re-write the left side of the equation using the following formula. Completing the square Step 6: Finally, we solve for x by taking the positive and negative square root to get the following answer and solve for two different equations:  Completing the square This image has an empty alt attribute; its file name is Screen-Shot-2020-12-25-at-6.29.22-PM.png Practice Questions: completing the square Solutions: completing the square

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Need more of an explanation?  Check out why we complete the square in the first place here ! 🙂

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