College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.6 - Other Types of Equations and Applications - 1.6 Exercises - Page 135: 72

Answer

$x=5$

Work Step by Step

Using the properties of equality, the given equation, $ (3x+7)^{1/3}-(4x+2)^{1/3}=0 ,$ is equivalent to \begin{array}{l}\require{cancel} (3x+7)^{1/3}=(4x+2)^{1/3} .\end{array} Raising both sides of the equation to the $\text{ third }$ power, the solution/s is/are \begin{array}{l}\require{cancel} 3x+7=4x+2 \\\\ 3x-4x=2-7 \\\\ -x=-5 \\\\ x=5 .\end{array}
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