Answer
z=±2i$\sqrt 2$
Work Step by Step
Original Equation
2z²+16=0
Subtract 16 from both sides
2z²=-16
Divide both sides by 2
z²=-8
Take the square root of both sides
z=±$\sqrt -8$
Simplify the radical
z=±2i$\sqrt 2$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 8 - Section 8.1 - Solving Quadratic Equations by Completing the Square - Exercise Set - Page 482: 19
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