Is this equation a conic?
4x^2-9y^2-16x-54y-65=0

Question

Is this equation a conic?
4x^2-9y^2-16x-54y-65=0

anonymous · Answer

I just asked this because when I solved it to form the standard equation for a hyperbola, it equates to zero

anonymous · Answer

please help, thank you :D
(my guess is that it isn't a conic, it's just a quadratic equation, but I'm not sure...)

dumbcow · Answer

you are right if it equates to 0, then its not a conic anymore

it becomes a straight line

anonymous · Answer

well, it's the assignment that our professor gave us and the instructions says that "discover the kind of conic you are solving"
so.... : /

dumbcow · Answer

http://www.wolframalpha.com/input/?i=4%28x-2%29%5E2+-9%28y%2B3%29%5E2+%3D+0

anonymous · Answer

so... maybe our professor just wrote the wrong number... she's kinda... mmm, old. ^^ '
I'll just answer that it is a pair of intersecting lines..

anonymous · Answer

thanks for your help. :D

dumbcow · Answer

could be or she considers intersecting lines a "type" of conic :)

anonymous · Answer

I'm not so sure... I know that intersecting lines is a kind of conic but in her lecture, she enumerates the kinds of conic as parabola, ellipse, and hyperbola only.

anonymous · Answer

well, I guess I'll just put what I think is right. :D thanks for your help.