Home > Algebra > IMC 2012 Problem 9

IMC 2012 Problem 9


Let {n \geq 2} be an integer. Find all real numbers {a} such that there exist real numbers {x_1,..,x_n} satisfying

\displaystyle x_1(1-x_2)=x_2(1-x_3)=...=x_{n-1}(1-x_n)=x_n(1-x_1)=a.

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  1. September 9, 2012 at 12:38 am

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