Coordinates of a point P3, given Point P1 & P2 at distance A & B respectively:

There are two points P1 at (X1,Y1) and P2 at (X2,Y2).

What are the coordinates of the two points, P31 & P32, which are at a distance A from point (X1,Y1) and a distance B from point (X2,Y2), given that (A+B) > the distance between P1 and P2 which is sqrt((X2-X1)^2 + (Y2-Y1)^2)?

The two solutions for (x,y), as the coordinates of P31 & P32, would satisfy:

(x-X1)^2+(y-Y1)^2=A^2

(x-X2)^2+(y-Y2)^2=B^2

How are these two simultaneous quadratic equations solved for (x,y)? Or, is there an easier way?