Precalculus (6th Edition) Blitzer

Published by Pearson

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

Answer

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 $-2+i\frac{2\sqrt{2}}{5}$.

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.