A hyperbola is intersected by line 1 at and
and by line 2 at and
Lines 1 and 2 intersect at
These can be written
I am trying to find a general solution for the values of and .
I have tried squaring (1) and adding\subtracting various multiples of (2), but this just brings me various fractions of the starting values.
Any help or pointers would be greatly appreciated