« Vrati se
Determine the minimum value of a^{2} + b^{2} when (a,b) traverses all the pairs of real numbers for which the equation x^{4} + ax^{3} + bx^{2} + ax + 1 = 0 has at least one real root.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1143IMO Shortlist 1959 problem 32
1411IMO Shortlist 1970 problem 100
1445IMO Shortlist 1973 problem 30
1452IMO Shortlist 1973 problem 100
1492IMO Shortlist 1976 problem 61
1675IMO Shortlist 1986 problem 120