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Source: Kyiv City MO 2022 Round 1, Problem 10.1

January 23, 2022
algebraquadratic trinomial

Problem Statement

Does there exist a quadratic trinomial ax2+bx+cax^2 + bx + c such that a,b,ca, b, c are odd integers, and 12022\frac{1}{2022} is one of its roots?
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