I have two surfaces: x^2+y^2-z^2=0 (cone) and x^2-y^2-z=0 (hyperbolic paraboloid). I'm asked to find their intersection line in its parametric representation and to give the bounds of t.

I tried to take z=x^2-y^2 from the second equation and to use it in the first one, but it leads to a complicated equation and I'm not sure that this is the correct way to deal with this question.