College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.6 - Solving Other Types of Equations - 1.6 Exercises - Page 138: 7

Answer

$x=0$ or $x=-5$ or $x=5$

Work Step by Step

We solve by factoring and using the fact that $a^2-b^2=(a+b)(a-b)$: $x^{3}=25x$ $x^{3}-25x=0$ $x(x^{2}-25)=0$ $x(x+5)(x-5)=0$ $x=0$ or $x+5=0$ or $x-5=0$ $x=0$ or $x=-5$ or $x=5$
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.