SOLUTION: I am stumped. Determine the type of conic without graphing: y + xy - y^2 - x^2 = 5x + x^2 - y^2

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I am stumped. Determine the type of conic without graphing: y + xy - y^2 - x^2 = 5x + x^2 - y^2      Log On


   

Question 979290: I am stumped.
Determine the type of conic without graphing:
y + xy - y^2 - x^2 = 5x + x^2 - y^2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Collect like terms in the LHS. That is, put the equation in General Form:



If then you don't have a conic.

IF , circle

If and , ellipse

If and ( or ), parabola

if or , hyperbola

John

My calculator said it, I believe it, that settles it