College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.3 - Complex Numbers - 1.3 Exercises: 42

Answer

$-\frac{1}{2}+\frac{\sqrt{2}}{2}i$

Work Step by Step

Original Problem: $\frac{-5+\sqrt{-50}}{10}$ Factor out 5 and $\sqrt{1}$ from $\sqrt{-50}$. $\frac{-5+\sqrt{-1}\times5\sqrt{2}}{10}$ Recall that $\sqrt{-1}$ = $i$. $\frac{-5+5i\sqrt{2}}{10}$ Simplify. $\frac{-1+i\sqrt{2}}{2}$ Separate. $-\frac{1}{2}+\frac{\sqrt{2}}{2}i$
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