Algebra and Trigonometry 10th Edition

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

Chapter 1 - 1.6 - Other Types of Equations - 1.6 Exercises - Page 128: 45



Work Step by Step

$(x-5)^{\frac{3}{2}}=8~~$ (Square both sides): $[(x-5)^{\frac{3}{2}}]^2=8^2$ $(x-5)^3=64$ $x-5=\sqrt[3] {64}$ $x-5=4$ $x=9$ Check the solution: $(9-5)^{\frac{3}{2}}=4^{\frac{3}{2}}=(\sqrt 4)^3=2^3=8$
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