Completing The Square Foldable 26546y
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Completing the Square: Solving Quadratic Equations
1. Move constant and divide by a if a ≠ 1
Created by Iisanumber.blogspot.com
2. Add ( ) to each side
3. Factor
4. Square root and isolate
A method for solving any quadratic equation, especially those that cannot be factored. The goal is to write one side in the form of a perfect square trinomial so it can be factored.
When you finish this step, you want the equation to look like: x2 + bx = -c Did you divide by a if a ≠ 1? Good!
You’re adding the square of half of the middle term’s coefficient to each side. This makes one side a perfect square trinomial which is easy to factor.
Factor. Because the trinomial is a perfect square, the factors will be the same. They will be in the form: (x + )2
Take the square root. If you take the square root of a positive integer, to use ±. Isolate x.
1. Move constant and divide by a if a ≠ 1
Created by Iisanumber.blogspot.com
2. Add ( ) to each side
3. Factor
4. Square root and isolate
A method for solving any quadratic equation, especially those that cannot be factored. The goal is to write one side in the form of a perfect square trinomial so it can be factored.
When you finish this step, you want the equation to look like: x2 + bx = -c Did you divide by a if a ≠ 1? Good!
You’re adding the square of half of the middle term’s coefficient to each side. This makes one side a perfect square trinomial which is easy to factor.
Factor. Because the trinomial is a perfect square, the factors will be the same. They will be in the form: (x + )2
Take the square root. If you take the square root of a positive integer, to use ±. Isolate x.
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