# Calculating the asymptotes of an hyperbola from the general equation [duplicate]

Suppose that the conditions which ensure that the following equation is an hyperbola are verified:

$$ax^2+2bxy+cy^2+2dx+2ey+f=0$$

What are the general expressions of the two asymptotes of the hyperbola?

EDIT

I tried to follow the procedure here, but I get (I assumed all the coefficient greater than zero; if I did not give a sign to the coefficients, I cannot solve the limit):

$$\lim_{x \rightarrow + \infty} y(x) - mx =$$

$$= \lim_{x \rightarrow + \infty} \frac{-E- Cx + \sqrt{(E + Cx)^2 - 4B(Dx + F)}}{2B} - \frac{2A}{C}x = - \infty$$