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 - Concept Quiz 9.5 - Page 424: 8

Answer

False

Work Step by Step

We will solve the equation to see what its solution is: Step 1: $\sqrt[3] {x+2}=-2$ Step 2: Raising each side of the equation to the power of $3$ and simplifying, we find: $(\sqrt[3] {x+2})^{3}=(-2)^{3}$ $x+2=-8$ Step 3: Solving the equation, we find: $x+2=-8$ $x=-8-2$ $x=-10$ Therefore, the solution set of the equation is {$-10$}, which means that the question statement is false.
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