MathDB
37th Austrian Mathematical Olympiad 2006

Source: round1, problem2 - systems of equations

February 10, 2009
algebrasystem of equationsalgebra unsolved

Problem Statement

Let n>1 n>1 be a positive integer an a a a real number. Determine all real solutions (x1,x2,…,xn) (x_1,x_2,\dots,x_n) to following system of equations: x_1\plus{}ax_2\equal{}0 x_2\plus{}a^2x_3\equal{}0 … x_k\plus{}a^kx_{k\plus{}1}\equal{}0 … x_n\plus{}a^nx_1\equal{}0
Back to ProblemsView on AoPS