Answer
$x=\frac{1}{3}+2i$ or $\frac{1}{3}-2i$
Work Step by Step
$9x^2-6x+37=0$
$9x^2-6x+1=-36$
$(3x-1)^2=(6i)^2$
$3x-1=6i$ or $-6i$
$3x = 1+6i$ or $1-6i$
$x=\frac{1}{3}+2i$ or $\frac{1}{3}-2i$
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: 70
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