Answer
x=$\frac{1±4i}{3}$
Work Step by Step
Original Equation
(3x-1)²=-16
Take the square root of both sides
3x-1=±$\sqrt -16$
Simplify the radical
3x-1=±4i
Add 1 to both sides
3x=1±4i
Divide both sides by 3
x=$\frac{1±4i}{3}$
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: 21
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