Answer
$\frac{12}{5}+\frac{9}{5}i$
Work Step by Step
$\frac{2i}{2+i}+\frac{5}{2-i}=\frac{2i(2-i)+5(2+i)}{(2+i)*(2-i)}=\frac{4i+2+10+5i}{4+1}=\frac{12+9i}{5}=$$\frac{12}{5}+\frac{9}{5}i$
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 119: 56
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