IMO Shortlist 1966 problem 31
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arhiva2. travnja 2012. Solve the equation
![|x^2 -1|+ |x^2 - 4| = mx](/media/m/3/5/3/3536766998fd6471c9effb765ff50cd1.png)
as a function of the parameter
![m](/media/m/1/3/6/1361d4850444c055a8a322281f279b39.png)
. Which pairs
![(x,m)](/media/m/6/f/8/6f8b318ea4f1480b1c2b56e727d32022.png)
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