# Chapter 8 - Section 8.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 26

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$\sqrt 2$

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