Answer
$\frac{8}{15}-\frac{4}{15}i$
Work Step by Step
$\frac{4i}{-3+6i}=\frac{(4i)(-3-6i)}{(-3+6i)(-3-6i)}=\frac{-12i+24}{9+36}=\frac{-12i+24}{45}=\frac{-4i+8}{15}=\frac{8}{15}-\frac{4}{15}i$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 4 Quadratic Functions and Factoring - Chapter Review - Page 321: 34
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