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Knowing that the system
x + y + z = 3, x^3 + y^3 + z^3 = 15, x^4 + y^4 + z^4 = 35,
has a real solution x, y, z for which x^2 + y^2 + z^2 < 10, find the value of x^5 + y^5 + z^5 for that solution.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1530IMO Shortlist 1978 problem 160
1616IMO Shortlist 1983 problem 200
1622IMO Shortlist 1984 problem 10
1630IMO Shortlist 1984 problem 90
1670IMO Shortlist 1986 problem 70
1790IMO Shortlist 1990 problem 201