Answer
$x=\pm 1$ or $x=\pm i$
Work Step by Step
We solve by factoring:
$x^{4}=1$
$x^{4}-1=0$
We use the fact that $a^2-b^2=(a+b)(a-b)$:
$(x^{2}-1)(x^{2}+1)=0$
$x^{2}-1=0$ or $x^{2}+1=0$
$x^2=1$ or $x^2=-1$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Appendix G - Complex Numbers - G Exercises - Page A56: 20
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