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: 4


The solutions are $x=3$ or $x=-13$.

Work Step by Step

$ x^{2}+10x+25=64\qquad$ ...write left side as a binomial squared.($25=5^{2}$) $(x+5)^{2}=64\qquad$ ...take square roots of each side. $ x+5=\pm 8\qquad$ ...add $-5$ to each side. $ x+5-5=\pm 8-5\qquad$ ...simplify. $ x=-5\pm 8\qquad$ ...write as separate equations. $x=-5+8$ or $ x=-5-8\qquad$ ...simplify. $x=3$ or $x=-13$
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