Answer
x=$\frac{-9±\sqrt 6}{4}$
Work Step by Step
Original Equation
(4x+9)²=6
Take the square root of both sides
4x+9=±$\sqrt 6$
Subtract 9 from both sides
4x=-9±$\sqrt 6$
Divide both sides by 4
x=$\frac{-9±\sqrt 6}{4}$
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 482: 14
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