MathDB

N1

Part of 2018 Pan-African Shortlist

Problems(1)

2018 PAMO Shortlist: Are there solutions to $4(ab - a - c^2) = b$?

Source: 2018 Pan-African Shortlist - N1

5/6/2019
Does there exist positive integers a,b,ca, b, c such that 4(ab−a−c2)=b4(ab - a - c^2) = b?
number theoryDiophantine equation