College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Chapter 1 Review - Exercises: 61

Answer

$x=1$

Work Step by Step

$x^{-1/2}-2x^{1/2}+x^{3/2}=0$ $x^{-1/2}(1-2x+x^{2})=0$ $x^{-1/2}(1-x)^{2}=0$ $\frac{1}{\sqrt{x}}(1-x)^2=0$ $\frac{1}{\sqrt{x}}=0$ or $(1-x)^2=0$ The left equation has no solution (since that would require division by 0). The right equation gives: $(1-x)^{2}=0$ $1-x=0$ $x=1$
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