College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.6 - Page 178: 35


The solution is $x=\sqrt[5]{4}$

Work Step by Step

$6x^{5/2}-12=0$ Take $12$ to the right side: $6x^{5/2}=12$ Take the $6$ to divide the right side: $x^{5/2}=\dfrac{12}{6}$ $x^{5/2}=2$ Raise both sides to $\dfrac{2}{5}$: $(x^{5/2})^{2/5}=2^{2/5}$ $x=\sqrt[5]{2^{2}}$ $x=\sqrt[5]{4}$
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