SOLUTION: I just don't get these problems and need help please. Which conic section is represented by this equation? 9x^2-36x-4y^2-24y-36=0

Question 64312: I just don't get these problems and need help please.
Which conic section is represented by this equation?
9x^2-36x-4y^2-24y-36=0
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Find the conic section represented by:
First, add 36 to both sides of the equation.
Now group the x-terms and the y-terms.
Next, factor a 9 from the x-group and a 4 from the y-group.
Divide both sides by 36.
Simplify the left side.
Now complete the squares in the x-terms and the y-terms.
NB: When we added the 4 to the x-terms, we really added 4/4 = 1. And when we added the 9 to the y-terms we really added -9/9 = -1, so the net result is we added 0 to the left side.
Now we need to factor the x-terms and the y-terms.

Compare this with the standard form for an hyperbola whose centre is at (h, k)

In your equation, h = 2, k = -3, a = 2, b = 3
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