Answer
$x=0, -1$
Work Step by Step
$(x^{3}+1)\sqrt (x+1)-(x^{3}+1)^{2}\sqrt (x+1)=0$
$\sqrt (x+1)(x^{3}+1)(1-x^{3}-1)=0$
$-\sqrt (x+1)(x^{3}+1)(x^{3})=0$
$x=-1$
$x=0$
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: 9
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