Answer
y=4±3i$\sqrt 2$
Work Step by Step
Original Equation
(y-4)²+18=0
Subtract 18 from both sides
(y-4)²=-18
Take the square root of both sides
y-4=±$\sqrt -18$
Simplify the radical
y-4=±3i$\sqrt 2$
Add 4 to both sides
y=4±3i$\sqrt 2$
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: 26
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