Answer
$x=0, \pm 1$
Work Step by Step
$(x^{2}+1)\sqrt[3] (x+1)^{4}-\sqrt[3] (x+1)^{7}=0$
$(\sqrt[3] (x+1)^{4})(x^{2}+1-x-1)=0$
$(\sqrt[3] (x+1)^{4})(x^{2}-x)=0$
$(\sqrt[3] (x+1)^{4})x(x-1)=0$
$x=0, -1, 1$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 0 - Section 0.6 - Solving Miscellaneous Equations - Exercises - Page 34: 12
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