module 22.2 solving equations by completing the square€¦ · 12/01/2017 · take the square root...
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Module 22.2
Solving Equationsby Completing The Square
How can you use completing the squareto solve a quadratic equation?
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Can this be solved as we have in the past?
Subtracting 3 from both side gives: 𝒙𝟐 − 𝟒𝒙 − 𝟑 = 𝟎
But are there 2 numbers that multiply to –3 and add up to –4? No.
So we need a new method to solve it.
Given
Completing the square is a process of rewriting a quadratic expression as a
perfect square trinomial so that it can be solved by taking square roots.
First: To complete the square, add 𝒃𝟐
𝟒𝒂
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