completing the square foldable
DESCRIPTION
Notetaking foldable for solving quadratic equations by completing the square in Algebra I or Algebra II. The teacher or student can select an appropriate example problem to work. Print front/back. Cut on solid lines, fold on dashed lines.TRANSCRIPT
Created byIisanumber.blogspot.com
Completing the Square:
Solving Quadratic Equations
1. Move constant anddivide by a if a ≠ 1
2. Add ( b2 )2
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 = -cDid 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 + b2 )2
Take the square root. If you take the square root of a positive integer, remember to use ±.
Isolate x.