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Two Circles on a Latus Rectum

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Two Circles on a Latus Rectum

Two externally tangent circles are centered at the two endpoints of the latus rectum of the parabola 4y = x2 + 4x - 4. The sum of the squares of the radii of the circles is 8.5. Find the radii of the circles.

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Problem by BogusBoy


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