Answer
$x=-1$
Work Step by Step
$x^{2/3}+2x^{1/3}+1=0$
$(x^{1/3})^2+2x^{1/3}+1=0$
$x^{1/3}=y$
$(x^{1/3})^2+2x^{1/3}+1=0$
$y^2+2y+1=0$
$(y+1)(y+1)=0$
$y+1=0$
$y=-1$
$x^{1/3}=y$
$x^{1/3}=-1$
$(x^{1/3})^3=(-1)^3$
$x=-1$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 11 - Section 11.3 - Solving Equations by Using Quadratic Methods - Exercise Set - Page 787: 20
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