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1965 IMO Problems/Problem 4

Revision as of 11:44, 16 July 2009 by Xpmath (talk | contribs) (Created page with '== Problem == Find all sets of four real numbers <math>x_1</math>, <math>x_2</math>, <math>x_3</math>, <math>x_4</math> such that the sum of any one and the product of the other …')
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Problem

Find all sets of four real numbers $x_1$, $x_2$, $x_3$, $x_4$ such that the sum of any one and the product of the other three is equal to $2$.

Solution

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