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 - Page 631: 27


$x=\left\{ -8-\sqrt{11},-8+\sqrt{11} \right\}$

Work Step by Step

Taking the square root of both sides (the Square Root Property), the solutions to the given equation, $ (y+8)^2=11 ,$ are \begin{array}{l}\require{cancel} y+8=\pm\sqrt{11} \\\\ y=-8\pm\sqrt{11} .\end{array} Hence, $ x=\left\{ -8-\sqrt{11},-8+\sqrt{11} \right\} .$
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