Answer
$x=-1, 0, 1$
Work Step by Step
$x^3=x$
$x^3-x=x-x$
$x^3-x=0$
$x(x^2-1)=0$
$x(x+1)(x-1)=0$
$x=0$
$x+1=0$
$x+1-1=0-1$
$x=-1$
$x-1=0$
$x-1+1=0+1$
$x=1$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 10 - Section 10.5 - Rationalizing Numerators and Denominators of Radical Expressions - Exercise Set - Page 719: 78
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