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2015 AMC 10AProblem 23P21-25~5 minPrint
QuadraticsDiophantine EquationsApply an identity: SFFT, sum of squares, difference of cubes, VietaOrganized listing / direct enumeration

The zeroes of the function f(x)=x2−ax+2af(x)=x^2-ax+2a are integers. What is the sum of the possible values of aa ?

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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.