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: 5


The solutions are $n=-2$ or $n=-14$.

Work Step by Step

$ n^{2}+16n+64=36\qquad$ ...write left side as a binomial squared. ($64=8^{2}$) $(n+8)^{2}=36\qquad$ ...take square roots of each side. $ n+8=\pm 6\qquad$ ...add $-8$ to each side. $ n+8-8=\pm 6-8\qquad$ ...simplify. $ n=-8\pm 6\qquad$ ...write as separate equations. $n=-8+6$ or $ n=-8-6\qquad$ ...simplify. $n=-2$ or $n=-14$
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