Answer
$$x=\sqrt{15}-8,\:x=-\sqrt{15}-8$$
Work Step by Step
Solving the equation by isolating $x$, we find:
$$\frac{1}{5}\left(x+8\right)^2=3 \\ \left(x+8\right)^2=15 \\ x=\sqrt{15}-8,\:x=-\sqrt{15}-8$$
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 6 Rational Exponents and Radical Functions - 6.5 Graph Square Root and Cube Root Functions - 6.5 Exercises - Mixed Review - Page 451: 41
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