MathDB

1

Part of 1982 Poland - Second Round

Problems(1)

x^3 - 3cx^2 - dx + c = 0 has no more than one rational root.

Source: Polish MO Recond Round 1982 p1

9/9/2024
Prove that if c,d c, d are integers with c≠d c \neq d , d>0 d > 0 then the equation x3−3cx2−dx+c=0 x^3 - 3cx^2 - dx + c = 0 has no more than one rational root.
algebrapolynomial