MathDB

5

Part of 1998 Austrian-Polish Competition

Problems(1)

x^3 - 17x^2 + ax - b^2 = 0 , 3 integer roots

Source: Austrian - Polish 1998 APMC

5/4/2020
Determine all pairs (a,b)(a, b) of positive integers for which the equation x3−17x2+ax−b2=0x^3 - 17x^2 + ax - b^2 = 0 has three integer roots (not necessarily different).
Integer PolynomialIntegerspolynomialalgebra