College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Test: 11

Answer

$\displaystyle-\frac{3}{5}-\frac{1}{5}i$

Work Step by Step

We simplify: $\displaystyle \frac{-2}{3-i}$ $\displaystyle=\frac{-2}{3-i}*\frac{3+i}{3+i}$ $\displaystyle=\frac{-2(3+i)}{(3-i)(3+i)}$ $\displaystyle=\frac{-6-2i}{9+3i-3i-i^{2}}$ $\displaystyle=\frac{-6-2i}{9--1}$ $\displaystyle=\frac{-6-2i}{10}$ $\displaystyle=\frac{-3-i}{5}$ $\displaystyle=-\frac{3}{5}-\frac{1}{5}i$
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