Answer
$x=-2,12$
Work Step by Step
When taking the square root of a number, you get a positive and a negative answer.
$(x-5)^2=49$
$x-5=7$
$x=12$
or
$x-5=-7$
$x=-2$.
So
$x=-2,12$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 4 - Quadratic Functions - 4.4 Solving Quadratic Equations by the Square Root Property and Completing the Square - 4.4 Exercises - Page 346: 7
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