Completing the Square to Solve

In the previous two sections we saw you can change a quadratic in standard form into vertex form by completing the square.  In this section we will see how you can solve a quadratic equation, set equal to zero, by using completing the square.  

The idea shared here is the same as the previous two sections, but the steps are slightly different because we have a different application.  This skill and concept, of completing the square, is highly adaptable and useful in many areas of mathematics.  This is another opportunity to “really get it,” so be patient with yourself!  Give yourself time, ask questions, be patient, you’ll get it.

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