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

Source: Polish MO Finals 1955 p1

August 29, 2024
algebrapolynomial

Problem Statement

What conditions must the real numbers a a , b b , and c c satisfy so that the equation x3+ax2+bx+c=0 x^3 + ax^2 + bx + c = 0 has three distinct real roots forming a geometric progression?
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