SOLUTION: There are two circles that go through (9,2). Each one is tangent to both coordinateaxes. Find the center and the radius for each circle. Start by drawing a clear diagram.

Question 1163741: There are two circles that go through (9,2). Each one is tangent to both coordinateaxes. Find the center and the radius for each circle. Start by drawing a clear diagram.
Answer by greenestamps(13334) (Show Source): You can put this solution on YOUR website!

The centers of both circles are equidistant from both axes; so let the coordinates of the centers of the circles be (h,h).

Using the distance formula to say that the distance from (9,2) to (h,h) is equal to h should give us two values for h, giving us the centers of the two circles.

That is indeed a quadratic equation; it will give us two solutions.

I leave it to you to do the work to finish the problem.

Note both values of h are whole numbers; if you're not getting that result, something is wrong with your work....

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