x^3 + px^2 + q = 0, 2 of 3 are primes (III Soros Olympiad 1996-97 R1 10.2)
Source:
May 29, 2024
number theoryalgebrapolynomial
Problem Statement
It is known that the equation where is non-zero, has three different integer roots, the absolute values of two of which are prime numbers. Find the roots of this equation.