Answer
$-1\pm i$
Work Step by Step
$x^{2}+2x+2=0$
We use the quadratic formula ($a=1, b=2, c=2$):
$x=\frac{-2\pm\sqrt{(2)^{2}-4(1)(2)}}{2(1)}=\frac{-2\pm\sqrt{4-8}}{2}=\frac{-2\pm\sqrt{-4}}{2}=\frac{-2\pm 2i}{2}=-1\pm i$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 1, Equations and Graphs - Section 1.5 - Complex Numbers - 1.5 Exercises - Page 131: 64
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