« Vrati se
In what case does the system of equations

\begin{matrix} x + y + mz = a \\ x + my + z = b \\ mx + y + z = c \end{matrix}

have a solution? Find conditions under which the unique solution of the above system is an arithmetic progression.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1251IMO Shortlist 1967 problem 52
1252IMO Shortlist 1967 problem 60
1289IMO Shortlist 1967 problem 20
1630IMO Shortlist 1984 problem 90
1670IMO Shortlist 1986 problem 70
1790IMO Shortlist 1990 problem 201