Algebra and Trigonometry 10th Edition

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: 48

Answer

$\frac{13}{1+i}=\frac{13}{2}-\frac{13}{2}i$

Work Step by Step

$\frac{13}{1+i}=\frac{13}{1+i}\frac{1-i}{1-i}=\frac{13(1-i)}{(1-i)(1-i)}=\frac{13-13i}{1^2-i^2}=\frac{13-13i}{1+1}=\frac{13}{2}-\frac{13}{2}i$
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