SOLUTION: what is the conic section of this problem? is it an ellipse, hyperbola, parabola, or circle? y²+4x²-2y-32x=-61

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: what is the conic section of this problem? is it an ellipse, hyperbola, parabola, or circle? y²+4x²-2y-32x=-61      Log On


   

Question 302813: what is the conic section of this problem? is it an ellipse, hyperbola, parabola, or circle? y²+4x²-2y-32x=-61
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Both and have squared terms, so NOT a parabola. A parabola has one of them squared and the other one not.

The signs on and are the same, so NOT a hyperbola. A hyperbola has opposite signs on and .

The coefficients on and are different, so NOT a circle. The coefficients on and in a circle are identical.

Only thing left is an ellipse.

John