Answer
$x= -3, 3, -3i, 3i$
Work Step by Step
$z^4=81$
$\sqrt {z^4} = \sqrt {81}$
$±z^2 = ±9$
$\sqrt {x^2}=\sqrt 9$
$x=±3$
$\sqrt {x^2}=\sqrt{-9}$
$x=\sqrt {-1*9}$
$x=3\sqrt{-1}$
$x=±3i$
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: 14
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