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: 33

Answer

The solution is $x=13$

Work Step by Step

$(x-4)^{3/2}=27$ Raise both sides of the equation to $\dfrac{2}{3}$: $[(x-4)^{3/2}]^{2/3}=27^{2/3}$ $x-4=\sqrt[3]{27^{2}}$ $x-4=9$ Solve for $x$: $x=9+4$ $x=13$
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