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 - Page 483: 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.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.