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: 6

Answer

The given equation $ \sqrt{3x+18}=x ,$ cannot have a negative solution since the left side of the equal sign is always a non negative number. Since the left side is equal to $x$, then $x$ cannot be a negative number.

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the fact that taking the even root of a non negative number is a positive number. $\bf{\text{Solution Details:}}$ The given equation $ \sqrt{3x+18}=x ,$ cannot have a negative solution since the left side of the equal sign is always a non negative number. Since the left side is equal to $x$, then $x$ cannot be a negative number.
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