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: 21


$x=5$ or $x=\pm\sqrt{2}$

Work Step by Step

We solve with factoring by grouping: $x^{3}-5x^{2}-2x+10=0$ $x^{2}(x-5)-2(x-5)=0$ $(x-5)(x^{2}-2)=0$ $x-5=0$ or $x^{2}-2=0$ $x=5$ or $x=\pm\sqrt{2}$
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