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: 18

Answer

x=49

Work Step by Step

Recall, in order to cancel out a square root, we square both sides of the equation. Thus, we square both sides of the equation to obtain that 36x=1764. We divide both sides of the equation by 36 to isolate x and obtain: x=49. We now must check our solution: $6\sqrt{49} = 42 \\\\\ 6(7)=42 \\\\ 42=42$ This is true, so x=49.
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