Algebra 2 (1st Edition)

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

Answer

$$x=4\sqrt{2}+5,\:x=-4\sqrt{2}+5$$

Work Step by Step

Completing the square, we find: $$x^2-10x-7+\left(-5\right)^2-\left(-5\right)^2 \\ \left(x-5\right)^2-7-\left(-5\right)^2 \\ \left(x-5\right)^2-32 \\ x=4\sqrt{2}+5,\:x=-4\sqrt{2}+5$$
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