Answer
x = $-2+\frac{i}{2}$ or $-2-\frac{i}{2}$
Work Step by Step
$4x^2+16x+17=0$
$4x^2+16x+16=-1$
$(2x+4)^2=-1$
$(2x+4)=+i$ or $-i$
$2x= -4+i$ or $-4-i$
$x = -2+i/2$ or $-2-i/2$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - 1.5 - Complex Numbers - 1.5 Exercises - Page 120: 69
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