Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX H - Complex Numbers - H Exercises: 8

Answer

$-\frac{5}{17}+\frac{14}{17}i$

Work Step by Step

$\frac{3+2i}{1-4i}$ $=\frac{3+2i}{1-4i}*\frac{1+4i}{1+4i}$ $=\frac{3(1+4i)+2i(1+4i)}{1^2+(4i)^2}$ $=\frac{3+12i+2i-8}{1+16}$ $=\frac{-5+14i}{17}$ $=-\frac{5}{17}+\frac{14}{17}i$
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.