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

Source: Polish MO Finals 1951 p4

August 28, 2024
algebrapolynomial

Problem Statement

Determine the coefficients of the equation x3ax2+bxc=0 x^3 - ax^2 + bx - c = 0 in such a way that the roots of this equation are the numbers a a , b b , c c .