olymmath

VWO 1994 Problem 2

    Determine all integer solutions (a,b,c) with c≤94c\leq 94 for which: (a+c)2+(b+c)2=60+20c(a+\sqrt c)^2+(b+\sqrt c)^2 = 60 + 20\sqrt c

    Dataset text AI-MO AoPS. Quoted with source.

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