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: 51

Answer

{$57$}

Work Step by Step

Step 1: $\sqrt[3] {x+7}=4$ Step 2: Raising each side of the equation to the power of $3$ and simplifying, we find: $(\sqrt[3] {x+7})^{3}=(4)^{3}$ $x+7=64$ Step 3: Solving the equation, we obtain: $x+7=64$ $x=64-7$ $x=57$ Therefore, the solution set of the equation is {$57$}.
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