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- Thread starter ironluis
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- Jan 26, 2012

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Hi ironluis,

Welcome to MHB!

Is this a question about systems of equations? Are you supposed to look at the two equations and solve for $x$ and $y$? This can be done algebraically however you posted the question in our geometry forum. Are you supposed to solve it geometrically?

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Next, compute the slope of the line segment connecting the center of the circles, and observe that the solutions will lie along the line perpendicular to this segment, and passing through the mid-point of the centers.

This line will give you the result suggested by

Then you want to find the points on this line which satisfy either of the equations describing the circles.

I think the best geometric solution to the problem of intersection of two circles is given at Circle, Cylinder, Sphere

I have used this algorithm with good success.