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2006 AMC 10AProblem 8P1-10~2 minPrint
QuadraticsCoordinate GeometryApply an identity: SFFT, sum of squares, difference of cubes, VietaExploit symmetry to reduce work or pair up objects

A parabola with equation y=x2+bx+cy=x^2+bx+c passes through the points (2,3)(2,3) and (4,3)(4,3) . What is cc ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.