Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - Cumulative Test for Chapters P-2 - Page 236: 25


The equation has no solution.

Work Step by Step

$x^{\frac{3}{2}}+21=13$ $x^{\frac{3}{2}}=13-21$ $x^{\frac{3}{2}}=-8~~$ (Square both sides): $(x^{\frac{3}{2}})^2=(-8)^2$ $x^3=64$ $x=\sqrt[3] {64}=4$ Check the solution: $4^{\frac{3}{2}}+21=(\sqrt 4)^3+21=8+21=29\ne13$
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