Answer
$\frac{5+i}{5-i}=4+\frac{5}{3}i$
Work Step by Step
$\frac{5+i}{5-i}=\frac{5+i}{5-i}\frac{5+i}{5+i}=\frac{(5+i)^2}{(5-i)(5+i)}=\frac{5^2+2(5)i+i^2}{5^2-i^2}=\frac{25+10i-1}{5+1}=\frac{24+10i}{6}=4+\frac{5}{3}i$
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: 49
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