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x^3 + ax^2 + bx + c = 0

Source: Polish MO second round 1952 p1

August 28, 2024
algebrapolynomial

Problem Statement

Find the necessary and sufficient conditions that the real numbers a a , b b , c c should satisfy so that the equation x3+ax2+bx+c=0x^3 + ax^2 + bx + c = 0 has three real roots creating an arithmetic progression.
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