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: 57

Answer

$\frac{62}{949}+\frac{297}{949}i$

Work Step by Step

$\frac{i}{3-2i}+\frac{2i}{3+8i}=\frac{(3i+8)i+(3-2i)2i}{(3-2i)(3+8i)}=\frac{3i-8+6i+4}{9+18i+16}=\frac{-4+9i}{25+18i}=\frac{-4+9i}{25+18i}*\frac{25-18i}{25-18i}=\frac{62+297i}{949}=$$\frac{62}{949}+\frac{297}{949}i$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions