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: 8

Answer

x=16/5

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 5x=16. We divide both sides of the equation by 5 to isolate x and obtain: x=16/5. We now must check our solution: $\sqrt{16/5 \times 5} = 4 \\\\\ \sqrt {16}=4 \\\\ 4=4$ This is true, so x=16/5
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