Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.5 - Solving Radical Equations - Problem Set 9.5 - Page 425: 47

Answer

18

Work Step by Step

We square both sides of the equation and solve. Thus: $ x -2 = 1 + x+ 7- 2\sqrt{x+7} \\ -10 = -2\sqrt{x+7} \\ 5 = \sqrt{x+7} \\ 25 = x+7 \\ x=18 $
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