Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - Chapter Test - Page 645: 29

Answer

$\sqrt {5x+6} +2 =0$ $x=-2/5$ is the extraneous solution

Work Step by Step

$\sqrt {5x+6} +2 =0$ $\sqrt {5x+6} =-2$ $(\sqrt {5x+6})^2 =(-2)^2$ $5x+6=4$ $5x=-2$ $5x/5=-2/5$ $x=-.4$ $\sqrt {5x+6} +2 =0$ $\sqrt {5*(-2/5)+6} +2 =0$ $\sqrt{-2+6} +2 =0$ $\sqrt {4} +2=0$ $2 + 2 \ne0$ $4 \ne 0$
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.