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TH-TMO 2005 Problem 15

    A function f:R→Rf : R \to R satisfy the functional equation f(x+2y)+2f(y−2x)=3x−4y+6f(x + 2y) + 2f(y - 2x) = 3x -4y + 6 for all reals x,yx, y . Compute f(2548)f(2548) .

    Dataset text AI-MO AoPS. Quoted with source.

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