Answer
$$x=4\sqrt{2}+5,\:x=-4\sqrt{2}+5$$
Work Step by Step
Completing the square, we find:
$$x^2-10x-7+\left(-5\right)^2-\left(-5\right)^2 \\ \left(x-5\right)^2-7-\left(-5\right)^2 \\ \left(x-5\right)^2-32 \\ x=4\sqrt{2}+5,\:x=-4\sqrt{2}+5$$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 4 Quadratic Functions and Factoring - Chapter Test - Page 323: 20
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