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Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial. To solve ax2+bx+c=0 by completing the square: 1. Transform the equation so that the constant term, c, is alone on the right side.
Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary. One application of completing the square is finding the maximum or minimum value of the function, and when it occurs.
Try first to solve the equation by factoring. Next, look at the side of the equation containing the variable. Next, if the coefficient of the squared term is 1 and the coefficient of the linear (middle) term is even, completing the square is a good method to use.
(By the way, this process is called “completing the square” because we add a term to convert the quadratic expression into something that factors as the square of a binomial; that is, we've “completed” the expression to create a perfect-square binomial.)
We complete the square by taking half of the coefficient of our x term, squaring it, and adding it to both sides of the equation. Since the coefficient of our x term is 10, half of it would be 5, and squaring it gives us 25start color #11accd, 25, end color #11accd.
We complete the square by taking half of the coefficient of our x term, squaring it, and adding it to both sides of the equation. Since the coefficient of our x term is 10, half of it would be 5, and squaring it gives us 25start color #11accd, 25, end color #11accd.
Suggested clip Complete the square — FAST and EASY! — YouTubeYouTubeStart of suggested client of suggested clip Complete the square — FAST and EASY! — YouTube
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