College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.1 - Composite Functions - 6.1 Assess Your Understanding - Page 410: 75

Answer

See below.

Work Step by Step

Let $\sqrt x=z$. Then the equation is: $2z^2-5z+2=0\\(2z-1)(z-2)=0$ Thus $z=2$ or $z=0.5$. If $2=\sqrt{x}$, then $x=2^2=4$. If $0.5=\sqrt{x}$, then $x=0.5^2=0.25$. Thus $x=4$ or $x=0.25$.
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