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: 101

Answer

$(-2+i)^2+4(-2+i)+5=0$

Work Step by Step

In order to see that $-2+i$ is a solution, we plug it in and make sure the equation remains true. $(-2+i)^2+4(-2+i)+5=0?$ Expand the left hand side. $4-4i+i^2-8+4i+5$ Combine like terms using the fact that $i^2=-1$. $(-2+i)^2+4(-2+i)+5=0$
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