Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 7 - Section 7.3 - Partial Fractions - Exercise Set - Page 842: 66


The result in standard form is, $-2+i\frac{2\sqrt{2}}{5}$.

Work Step by Step

$\begin{align} & y=\frac{-20+\sqrt{-32}}{10} \\ & =\frac{-20+\sqrt{-4\times 4\times 2}}{10} \\ & =\frac{-20+4\sqrt{-2}}{10} \\ & \end{align}$ Here, $i=\sqrt{-1}$. So, $y=-2+i\frac{2\sqrt{2}}{5}$. Thus, the standard form is $-2+i\frac{2\sqrt{2}}{5}$.
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