Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - 8.1 Exercises: 12

Answer

$x=\pm15$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given equation, $ x^2=225 ,$ take the square root of both sides (Square Root Property). Then simplify the resulting radical. $\bf{\text{Solution Details:}}$ Taking the square root of both sides (Square Root Property), the equation above is equivalent to \begin{array}{l}\require{cancel} x=\pm\sqrt{225} .\end{array} Simplifying the radical results to \begin{array}{l}\require{cancel} x=\pm\sqrt{(15)^2} \\\\ x=\pm15 .\end{array}
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