Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Exercise Set - Page 323: 56


$m=\left\{ -6,0,6 \right\}$

Work Step by Step

The factored form of the given expression, $ m^5=36m^3 $, is \begin{array}{l} m^5-36m^3=0 \\\\ m^3(m^2-36)=0 \\\\ m^3(m+6)(m-6)=0 .\end{array} Equating each factor to zero, then \begin{array}{l} m^3=0 \\ m=0 ,\text{ OR}\\\\ m+6=0 \\ m=0-6 \\ m=-6 ,\text{ OR}\\\\ m-6=0 \\ m=0+6 \\ m=6 \end{array} Hence, $ m=\left\{ -6,0,6 \right\} $.
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.