Answer
$$x=-4,\:x=8$$
Work Step by Step
To solve the equation, we use the rules of Algebra to isolate the given variable. Doing this, we find:
$$ \left(x-2\right)^2-36=0 \\ x^2-4x-32=0 \\ \left(x+4\right)\left(x-8\right)=0 \\ x=-4,\:x=8$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 7 - Functions and Graphs - 7.1 Introduction to Function - 7.1 Exercise Set - Page 451: 72
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