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TUYMAADA 2020 Problem 5

    Coordinate axes (without any marks, with the same scale) and the graph of a quadratic trinomial y=x2+ax+by = x^2 + ax + b are drawn in the plane. The numbers aa and bb are not known. How to draw a unit segment using only ruler and compass?

    Dataset text AI-MO AoPS. Quoted with source.

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