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 - Page 138: 8


$x=0$ or $x=\pm\sqrt{5}$

Work Step by Step

We solve by factoring: $x^{5}=5x^{3}$ $x^{5}-5x^{3}=0$ $x^{3}(x^{2}-5)=0$ $x^{3}(x-\sqrt{5})(x+\sqrt{5})=0$ $x^3=0$ or $x-\sqrt{5}=0$ or $x+\sqrt{5}=0$ $x=0$ or $x=\pm\sqrt{5}$
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