Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Exercise Set - Page 593: 41



Work Step by Step

Given: $x^2+2x+2=0$ This can be re-written as: $x^2+2x=-2$ We need to add $(1)^2$ to complete the square. Thus, $x^2+2x+1=-2+1$ or, $(x+1)^2=-1$ or, $(x+1)=\pm \sqrt {-1}$ or, $x=-1+i,-1-i$ Hence, solution set is $x=${$-1-i,-1+i$}
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