Answer
$x=-1\pm i$
Work Step by Step
We can get the zeros by solving the equation $x^2+2x+2=0.$
By completing the square: $(x^2+2x+1)+1=0\\(x+1)^2+1=0\\(x+1)^2=-1$,.
Hence after taking the square root of both sides: $(x+1)=\pm i\\x=-1\pm i.$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 4 - Polynomial and Rational Functions - 4.6 Complex Zeros; Fundamental Theorem of Algebra - 4.6 Assess Your Understanding - Page 240: 2
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