Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - Review Exercises - Page 153: 73

Answer

$\frac{3+2i}{5+i}=\frac{17}{26}+\frac{7}{26}i$

Work Step by Step

$\frac{3+2i}{5+i}=\frac{3+2i}{5+i}\frac{5-i}{5-i}=\frac{(3+2i)(5-i)}{(5+i)(5-i)}=\frac{15-3i+10i-2i^2}{5^2-i^2}=\frac{15+7i+2}{25+1}=\frac{17}{26}+\frac{7}{26}i$
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