# Math

Find the vertices, center, asymptotes, and foci of the ellipse and sketch its graph: 9x^2-4y^2-18x+8y+41=0

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asked by Jim
1. 9x^2-4y^2-18x+8y+41=0
9(x^2 - 2x + .....) - 4(y^2 - 2y + ....) = -41

9(x^2 - 2x + 1) - 4(y^2 - 2y + 1) = -41 + 1 + 1

I will let you finish it from there.
You do realize of course, that your equation does NOT represent an ellipse.

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posted by Reiny
2. You forgot to multiply the 9 and the 4 to make the equation = -41 + 9 - 4

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3. you are right, I messed up

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posted by Reiny

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