SOLUTION: Determine if the given equation describes ellipse, or hyperbola. Also write each in standard form. x^2+9y^2-8x-90y+232=0

Question 703148: Determine if the given equation describes ellipse, or hyperbola. Also write each in standard form.
x^2+9y^2-8x-90y+232=0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine if the given equation describes ellipse, or hyperbola. Also write each in standard form.
x^2+9y^2-8x-90y+232=0
x^2-8x+9y^2-90y+232=0
x^2-8x+9y^2-90y=-232
complete the squares
(x^2-8x+16)+9(y^2-10y+25)=-232+16+225
(x-4)^2+9(y-5)^2=9

This is an equation of an ellipse with horizontal major axis and center at (4,5)
Its standard form: , a>b, (h,k)=(x,y) coordinates of center
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