Difference between revisions of "1963 IMO Problems/Problem 4"

(New page: ==Problem== Find all solutions <math>x_1,x_2,x_3,x_4,x_5</math> of the system <center><math>\begin{eqnarray} x_5+x_2&=&yx_1\\ x_1+x_3&=&yx_2\\ x_2+x_4&=&yx_3\\ x_3+x_5&=&yx_4\\ x_4+x_1&=&y...)
(No difference)

Revision as of 18:21, 30 December 2008

Problem

Find all solutions $x_1,x_2,x_3,x_4,x_5$ of the system

$\begin{eqnarray}

x_5+x_2&=&yx_1\\ x_1+x_3&=&yx_2\\ x_2+x_4&=&yx_3\\ x_3+x_5&=&yx_4\\

x_4+x_1&=&yx_5,\end{eqnarray}$ (Error compiling LaTeX. Unknown error_msg)

where $y$ is a parameter.

Solution

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See Also

1963 IMO (Problems) • Resources
Preceded by
Problem 3
1 2 3 4 5 6 Followed by
Problem 5
All IMO Problems and Solutions