I have two circles with equations:

(x - 1)^2 + (y - 4)^2 = 25 and (x - 9)^2 + (y - 4)^2 = 16

And I need to work out where the "lines" of the two circles cross. I can do this fine with a straight line and a circle but how do I do it with two circle equations?

I tried (y-4)^2 same so

(y - 4)^2 = 25 - (x - 1)^2

(y - 4)^2 = 16 - (x - 9)^2

and so 25 - (x - 1)^2 = 16 - (x - 9)^2

But could not seem to get any sensible answer. Can anyone please help me out?