College Algebra 7th Edition

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

Chapter 1, Equations and Graphs - Section 1.6 - Solving Other Types of Equations - 1.6 Exercises: 63

Answer

$x=5$

Work Step by Step

$x^{3/2}-10x^{1/2}+25x^{-1/2}=0$ $x^{-1/2}(x^{2}-10x+25)=0$ $x^{-1/2}(x-5)^{2}=0$ $x^{-1/2}=0$ or $(x-5)^{2}=0$ $\frac{1}{\sqrt{x}}=0$ or $x=\sqrt{0}+5=5$ The left equation has no solution, so the only solution is $x=5$
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