SOLUTION: 11x^2-3y^2-88x+18y+116=0 is this a hyperbola,ellipse,parabola? solve and set up in the correct form to graph. x^2+y^2+8x-4y=-11 Is this a hyperbola,ellipse,parabola? solve

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Question 429414: 11x^2-3y^2-88x+18y+116=0
is this a hyperbola,ellipse,parabola? solve and set up in the correct form to graph.
x^2+y^2+8x-4y=-11
Is this a hyperbola,ellipse,parabola? solve and set up in the correct form to graph.
y^2-4x+6y+24=0
Is this a hyperbola,ellipse,parabola? solve and set up in the correct form to graph.



Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
11x^2-3y^2-88x+18y+116=0
11[(x-4)^2-16] -3[(y+3)^2-9] +116=0
11(x-4)^2-176 -3(y+3)^2+ 27 +116=0
11(x-4)^2 -3(y+3)^2= 33
Hyperbola
x^2+y^2+8x-4y=-11
(x+4)^2 -16 + (y-2)^2 - 4 =-11
|Circle
y^2-4x+6y+24=0
(y+3)^2 - 9 - 4x +24 = 0
(y+3)^2 = 4x -13 |Parabola
x = .25(y+3)^2 +13/4 Vertex Pt(13/4,-3)


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