College Algebra 7th Edition

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


$-1\pm i$

Work Step by Step

$x^{2}+2x+2=0$ We use the quadratic formula ($a=1, b=2, c=2$): $x=\frac{-2\pm\sqrt{(2)^{2}-4(1)(2)}}{2(1)}=\frac{-2\pm\sqrt{4-8}}{2}=\frac{-2\pm\sqrt{-4}}{2}=\frac{-2\pm 2i}{2}=-1\pm i$
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