olymmath

AIME 2026b Problem 6

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Find the sum of all real numbers rr such that there is at least one point where the circle with radius rr centered at (4,39)(4,39) is tangent to the parabola with equation 2y=x2−8x+122y=x^2-8x+12.

Dataset text AIME 1983 to 2026. Quoted with source.

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