MathDB
Polynomial equation

Source: 54 Polish MO 2003 Second Round - First Day Problem 3

April 21, 2018
algebrapolynomialpolynomial equationPoland

Problem Statement

Let W(x)=x4−3x3+5x2−9xW(x) = x^4 - 3x^3 + 5x^2 - 9x be a polynomial. Determine all pairs of different integers aa, bb satisfying the equation W(a)=W(b)W(a) = W(b).
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