Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.6 - Radical Equations and Problem Solving - Exercise Set: 27


no solution

Work Step by Step

Using the properties of equality, the given equation, $ \sqrt{3x+1}+2=0 ,$ is equivalent to \begin{array}{l}\require{cancel} \sqrt{3x+1}=-2 .\end{array} The left side of the equal sign always gives a nonnegative value. This will never be equal to the negative values at the right. Hence, there is $\text{ no solution .}$
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