College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.5 - Complex Numbers - 1.5 Exercises: 39

Answer

$\frac{8}{5}+\frac{1}{5}i$

Work Step by Step

$\displaystyle \frac{2-3i}{1-2i}=\frac{2-3i}{1-2i}*\frac{1+2i}{1+2i}=\frac{2+4i-3i-6i^{2}}{1-4i^{2}}=\frac{2+1i-6*-1}{1-4*-1}=\frac{2+6+1i}{1+4}=\frac{8+i}{5}=\frac{8}{5}+\frac{1}{5}i$
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