Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.7 Complete the Square - 4.7 Exercises - Skill Practice - Page 288: 3


The solutions are $x=1$ or $x=-5$.

Work Step by Step

$ x^{2}+4x+4=9\qquad$ ...write left side as a binomial squared. $(x+2)^{2}=9\qquad$ ...take square roots of each side. $ x+2=\pm 3\qquad$ ...add $-2$ to each side. $ x+2-2=\pm 3-2\qquad$ ...simplify. $ x=-2\pm 3\qquad$ ...write as separate equations. $x=-2+3$ or $ x=-2-3\qquad$ ...simplify. $x=1$ or $x=-5$
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