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ax^3 + bx^2 + cx + d = 0

Source: Polish MO second round 1959 p1

August 29, 2024
algebrapolynomial

Problem Statement

What necessary and sufficient condition should the coefficients a a , b b , c c , d d satisfy so that the equation ax3+bx2+cx+d=0ax^3 + bx^2 + cx + d = 0 has two opposite roots?
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