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: 5


NOT a solution The given equation does not have any real solution because the left side of the equal sign will always be a non negative number. This will never equal the negative value at the right.

Work Step by Step

$\bf{\text{Solution Outline:}}$ Substitute the given value for $x$ in the given equation, $ \sqrt{x}=-3 .$ If the left side of the equation becomes equal to the right side of the equation, then the given value of $x$ is a solution to the equation. $\bf{\text{Solution Details:}}$ Substituting $x$ with $ 9 $ in the given equation results to \begin{array}{l}\require{cancel} \sqrt{9}=-3 \\\\ 3=-3 \text{ (FALSE)} .\end{array} Hence, $x= 9 $ is NOT a solution to the given equation.
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