Answer
x=$\frac{3±\sqrt 8}{2}$
Work Step by Step
Original Equation
(2x-3)²=8
Take the square root of both sides
2x-3=±$\sqrt 8$
Add 3 to both sides
2x=3±$\sqrt 8$
Divide both sides by 2
x=$\frac{3±\sqrt 8}{2}$
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 482: 13
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