Answer
x=-3±2i$\sqrt 2$
Work Step by Step
Original Equation
(x+3)²+8=0
Subtract 8 from both sides
(x+3)²=-8
Take the square root of both sides
x+3=±$\sqrt -8$
Simplify the radical
x+3=±2i$\sqrt 2$
Subtract 3 from both sides
x=-3±2i$\sqrt 2$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 8 - Section 8.1 - Solving Quadratic Equations by Completing the Square - Exercise Set - Page 485: 25
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