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

Algebra ->  Quadratic-relations-and-conic-sections -> 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      Log On


   

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) About Me  (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 

+%28x-4%29%5E2%2F3+-%28y%2B3%29%5E2%2F11=+1+ Hyperbola



 x^2+y^2+8x-4y=-11 

(x+4)^2 -16 + (y-2)^2 - 4 =-11

 %28x%2B4%29%5E2+%2B+%28y-2%29%5E2+=+9  |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)