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: 3



Work Step by Step

We will solve the equation to see if it has a solution or not: Step 1: $\sqrt[3] {x-1}=2$ Step 2: Raising each side of the equation to the power of $3$ and simplifying, we find: $(\sqrt[3] {x-1})^{3}=(2)^{3}$ $x-1=8$ Step 3: Solving the equation, we find: $x-1=8$ $x=8+1$ $x=9$ This shows that the equation does indeed have a solution, which means that the question statement is true.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.