SOLUTION: I have a quiz tomorrow and I am having trouble solving the practice equation... Write 9x^2-108x+4y^2+8y+184=0 in standard form. Is it an ellipse, circle, parabola or hyperbola?

Question 141450: I have a quiz tomorrow and I am having trouble solving the practice equation...
Write 9x^2-108x+4y^2+8y+184=0 in standard form. Is it an ellipse, circle, parabola or hyperbola?
Answer by nabla(475) (Show Source): You can put this solution on YOUR website!

<--complete the squares
<---factor
<--simplify, shift constants to right-side
<---divide 9 through to make x term standard
<---divide 4 through to make the y term standard
<---simplify it into standard form by dividing 4 through in order to make the right side 1.

It should be evident now that this is an ellipse, not a circle.
The center is (h,k) when in standard form: (6,-1).
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