Answer
$p=-2, 2, -2i, 2i$
Work Step by Step
$p^4-16=0$
$(p^2+4)(p^2-4)=0$
$(p^2+4)(p-2)(p+2)=0$
$p-2=0$
$p=2$
$p+2=0$
$p=-2$
$p^2+4=0$
$p^2=-4$
$\sqrt {p^2}=\sqrt {-4}$
$p=\sqrt {-4}$
$p=\sqrt {4*-1}$
$p=±2i$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 11 - Section 11.3 - Solving Equations by Using Quadratic Methods - Exercise Set - Page 787: 13
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