  # How to complete the square for a quadratic equation

Note: Completing the square formula is used to derive the quadratic formula. Completing the square formula is a technique or method that can also be used to find the roots of the given quadratic equations, ax 2 + bx + c = 0, where a, b and

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## Solving Quadratic Equations by Completing the Square

To complete the square, the leading coefficient, a a , must equal 1. If it does not, then divide the entire equation by a a. Then, we can use the following procedures to solve a quadratic

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## Completing the square (video)

Some quadratic expressions can be factored as perfect squares. For example, x²+6x+9= (x+3)². However, even if an expression isn't a perfect square, we can turn it into one by adding a constant number. For example

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## Rewriting & solving equations by completing the square (video)

The completing the square formula is given by, ax 2 + bx + c ⇒ a(x + m) 2 + n. Where, m = b/2a, n = c – (b 2 /4a) Here, m can be any real number and n is a constant.

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After taking the square root of both sides, you are left with x-3 = +/- 5. Next, to get x by itself, add 3 to both sides as follows. And to find your solutions, simply perform x = 3 + 5 AND x = 3 - 5 to get your answer as follows:

## Completing the Square Calculator

The general form of a quadratic equation looks like this: ax 2 + bx + c = 0 Completing The Square Steps Isolate the number or variable c to the right side of the equation. Divide all terms by a (the coefficient of x2, unless x2 has no

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