Answer
1/4
Work Step by Step
Let a = $\sqrt x$
Hence a>=0
$2a^2+9a=5$
$2a^2-a+10a-5=a(2a-1)+5(2a-1)=(a+5)(2a-1)=0$
Hence a=-5 or 1/2. Since a>=0, a=1/2
$\sqrt x=1/2$
x=1/4
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - 1.6 - Other Types of Equations - 1.6 Exercises - Page 128: 27
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