College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.4 - Page 142: 24



Work Step by Step

Multiply the top and bottom of the term by the conjugate of the denominator. Then combine like terms and divide to simplify. Make sure to change $i^2$ to $-1$. $\frac{5i}{2-i}$ $\frac{5i}{2-i}(\frac{2+i}{2+i})$ $\frac{10i+5i^2}{4-2i+2i-i^2}$ $\frac{10i+5(-1)}{4-(-1)}$ $\frac{10i-5}{5}$ $\frac{5(2i-1)}{5}$ $2i-1$
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