SOLUTION: Find the center (h,k) of the ellipse with the equation 9x^2-18x+4y^2+16y=11 Thanks:)

SOLUTION: Find the center (h,k) of the ellipse with the equation 9x^2-18x+4y^2+16y=11 Thanks:)

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Question 38901: Find the center (h,k) of the ellipse with the equation
9x^2-18x+4y^2+16y=11
Thanks:)
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Okay from
9x^2 - 18x + 4y^2 + 16y = 11
9(x^2 - 2x + 1) + 4(y^2 + 4y + 4) = 11 + 9 + 16
9(x - 1)^2 + 4(y + 2)^2 = 36
(x - 1)^2 / 4 + (y + 2)^2 / 9 = 1
center is at (1, -2)
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