MathDB

2

Part of 1993 ITAMO

Problems(1)

3x^2 - px + q = 0 , where p.q are primes and has two rational solutions

Source: 1993 ITAMO p2

1/31/2020
Find all pairs (p,q)(p,q) of positive primes such that the equation 3x2āˆ’px+q=03x^2 - px + q = 0 has two distinct rational roots.
quadratic trinomialtrinomialQuadraticnumber theoryRational rootsrationalprimes