Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix G - Complex Numbers - G Exercises: 20

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 $x^2=-1$
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