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OME 1970 Problem 4

    Knowing that the polynomials 2x5−13x4+4x3+61x2+20x−252x^5 - 13x^4 + 4x^3 + 61x^2 + 20x-25 x5−4x4−13x3+28x2+85x+50x^5 -4x^4 - 13x^3 + 28x^2 + 85x+50 have two common double roots, determine all their roots.

    Dataset text AI-MO AoPS. Quoted with source.

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