Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.6 - Solving Equations with Radicals - 7.6 Exercises: 48

Answer

no solution

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given radical equation, $ \sqrt[4]{8z-3}+2=0 ,$ use the properties of equality to isolate the radical expression. Then ensure that the right side of the equal sign is positive. $\bf{\text{Solution Details:}}$ Using the properties of equality to isolate the radical expression results to \begin{array}{l}\require{cancel} \sqrt[4]{8z-3}=-2 .\end{array} The left side of the equal sign always gives a non negative result. This will never be equal to the negative value at the right side. Hence, there is $\text{ no solution .}$
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