Answer
$x^4-20x^2-576=0$
Work Step by Step
$x=4i,-4i,6,-6$
$(x-4i)(x+4i)(x-6)(x+6)=0$,
$(x^2-16i^2)(x^2-36)=0, i^2=-1$
$(x^2+16)(x^2-36)=0$
Therefore, multiplying out the factors:
$x^4-36x^2+16x^2-576=0$
$x^4-20x^2-576=0$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - 1.6 - Other Types of Equations - 1.6 Exercises - Page 129: 92
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