## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 8 - Section 8.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 22

#### Answer

y=$\frac{-2±5i}{4}$

#### Work Step by Step

Original Equation (4y+2)²=-25 Take the square root of both sides 4y+2=±$\sqrt -25$ Simplify the radical 4y+2=±5i Subtract 2 from both sides 4y=-2±5i Divide both sides by 4 y=$\frac{-2±5i}{4}$

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