As is usually the case, you can take several approaches to solving this problem. For example, you could write the equation for one of the circles, solve for x and y, and plug those values into the equation for the second circle. Then, you would solve the new equation for x and y.
Unfortunately, as you saw in the preceding solution, the equation for a circle centered at the point (cx, cy) is fairly complicated, so solving that equation for x and y isn't trivial. When you plug those values into the equation for the other circle, things really get complicated.
Instead of using that method, I'm going to use a geometric approach. Take a look at the circles shown in the following diagram. Our goal is to find the points ...
