Here is a question that I believe that I might have worked out partially, but I have one small sticking point that is really throwing me.
Identify the following conic. That is, is it a circle, parabola, hyperbola, or ellipse?
My answer so far:
can be identified as a hyperbola by executing the following steps:
Rearrange the terms:
Complete the square:
(this is where my problem lies, I'm not quite sure that my result is correct.)
I realize that my answer is incomplete, but I can't quite figure out where I'm going wrong.