IMO Shortlist 1968 problem 11


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2. travnja 2012.
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Find all solutions (x_1,\,x_2,\,\ldots ,\,x_n) of the equation
1 + \frac{1}{x_1} + \frac{x_1+1}{x_1x_2} + \frac{(x_1+1)(x_2+1)}{x_1x_2x_3} + \cdots + \frac{(x_1+1)(x_2+1) \cdots (x_{n-1}+1)}{x_1x_2 \ldots x_n} = 0\text{.}
Izvor: Međunarodna matematička olimpijada, shortlist 1968