Algebra 2 (1st Edition)

Published by McDougal Littell

Chapter 4 Quadratic Functions and Factoring - Chapter Review - Page 321: 34

Answer

$\frac{8}{15}-\frac{4}{15}i$

Work Step by Step

$\frac{4i}{-3+6i}=\frac{(4i)(-3-6i)}{(-3+6i)(-3-6i)}=\frac{-12i+24}{9+36}=\frac{-12i+24}{45}=\frac{-4i+8}{15}=\frac{8}{15}-\frac{4}{15}i$

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