5.4 Completing the Square Warm-up (IN) Factor 1. 2. 3. Solve 4. 5. 6. Learning Objective: To use completing the square to solve quadratic equations.

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Presentation transcript:

5.4 Completing the Square Warm-up (IN) Factor Solve Learning Objective: To use completing the square to solve quadratic equations.

Notes We want to make a perfect square trinomial What value of c will make a perfect square trinomial? Make a square. How many ones do we need to complete the square? We added 9 ones. Because we took half of 6, then squared it. Now we have Which is

Learning Objective: To use completing the square to solve quadratic equations. EX 1 – Write the expression as a square of a binomial: EX 2 – Complete the square to form a perfect square trinomial, then write it as a binomial squared: Take half of the middle and square it!

Learning Objective: To use completing the square to solve quadratic equations. EX 3 – Solve by completing the square Move c over to other side Complete the square Rewrite as squared binomial Solve by undoing But you must add to both sides!!!

Learning Objective: To use completing the square to solve quadratic equations.

EX 4 – Solve by completing the square: When a does not = 1, divide whole equation by a! Learning Objective: To use completing the square to solve quadratic equations.

Try this: p. 301 bottom Yay Math!!

HW – p. 304 #11-35 odd Summary – So far, my favorite method of solving quadratics is ______ because _____. Quiz on Factoring on Friday!