IMO Shortlist 1966 problem 31
Dodao/la:
arhiva2. travnja 2012. Solve the equation

as a function of the parameter

. Which pairs

of integers satisfy this equation ?
%V0
Solve the equation $|x^2 -1|+ |x^2 - 4| = mx$ as a function of the parameter $m$. Which pairs $(x,m)$ of integers satisfy this equation ?
Izvor: Međunarodna matematička olimpijada, shortlist 1966