SOLUTION: Identify the following conic. Is it a circle, parabola, hyperbola, or ellipse. Show why. x^2 - 4y^2 - 4x - 24y =48 I don't think it's a circle. I've tried completing the sq

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Identify the following conic. Is it a circle, parabola, hyperbola, or ellipse. Show why. x^2 - 4y^2 - 4x - 24y =48 I don't think it's a circle. I've tried completing the sq      Log On


   



Question 162448: Identify the following conic. Is it a circle, parabola, hyperbola, or ellipse. Show why.
x^2 - 4y^2 - 4x - 24y =48
I don't think it's a circle. I've tried completing the square but I don't get an answer that looks right. Please help!!!

Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
It is a hyperbola because there is a - term.
If the coefficients of x^2 amd y^2 terms were the same and positive it would be a circle.
If the coefficients of x^2 amd y^2 terms are unequal and positive it would be an ellise. A circle is a special type of ellipse.