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: 58

Answer

$\frac{5}{17}-\frac{20}{17}i$

Work Step by Step

$\frac{1+i}{i}-\frac{3}{4-i}=\frac{(i+1)(4-i)-3i}{i(4-i)}=\frac{4+3i+1-3i}{1+4i}=\frac{5}{1+4i}*\frac{1-4i}{1-4i}=$$\frac{5}{17}-\frac{20}{17}i$
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