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x^2 + ax + b, x^2 + cx + d - All-Russian MO 1996 Regional (R4) 9.1

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September 23, 2024
algebratrinomial

Problem Statement

Find all pairs of square trinomials x2+ax+bx^2 + ax + b, x2+cx+d x^2 + cx + d such that aa and bb are the roots of the second trinomial, cc and dd are the roots of the first.
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