Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 21

Answer

$x=\{ -16,6 \}$

Work Step by Step

Taking the square root of both sides (the Square Root Property), the solutions to the given equation, $ (x+5)^2=121 ,$ are \begin{array}{l}\require{cancel} (x+5)=\pm\sqrt{121} \\\\ x+5=\pm\sqrt{(11)^2} \\\\ x+5=\pm11 \\\\ x=-5\pm11 .\end{array} Hence, $ x=\{ -16,6 \} .$
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