College Algebra (10th Edition)

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

Chapter 1 - Section 1.4 - Radical Equations; Equations Quadratic in Form; Factorable Equations - 1.4 Assess Your Understanding: 62

Answer

$x=16$ or $x=1$

Work Step by Step

We solve by factoring: $x^{1/2}-3x^{1/4}+2=0$ $[x^{1/4}-2][x^{1/4}-1]=0$ $x^{1/4}-2=0$ or $x^{1/4}-1=0$ $x^{1/4}=2$ or $x^{1/4}=1$ $x=2^4$ or $x=1^4$ $x=16$ or $x=1$
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