Algebra 1 Warm up #3 Solve by factoring:

9-5 solve by Completing the square Objective: To solve a quadratic equation by completing the square.

Problem 1

Complete the Square Practice a2 + 2ab + b2 x2 – 6x + ____ x • 2 • ____ = -6x y2 + 12y + ____ y • 2 • ____ = 12y n2 + 16n + ____ n • 2 • ____ = 16n Square root of the first term times 2 times square root of the last term equals the middle term. 9 -3 36 6 64 8

Try with a Partner  Find the value of c that makes each trinomial a perfect square. x2 – 20x + c y2 – 3y + c x2 + x + c Answers: 100 9/4 1/4

Problem 1 Solve by completing the square.

Problem 2 Solve by completing the square.

Problem 3 Solve by completing the square.

Homework 9-5 Worksheet