Compute the points of the intersection between the circle x^2+y^2=1 and hyperbola xy=1?
I tried to put 1/y in place of x but I couldn't solve.
Yes, but the discriminant is negative, so all the roots are non-real numbers in the complex plane. That is to say there is no real solution. As I have suggested earlier, just graphing these two functions makes it clear that they do not intersect on the xy plane.