## Problem of the Day #313: A System of Four Equations
*January 26, 2012*

*Posted by Saketh in : potd , trackback*

Find all real solutions:

\begin{array}{lcl}

w^4 = 313x – 1 \\

x^4 = 313y – 1 \\

y^4 = 313z – 1 \\

z^4 = 313w – 1

\end{array}

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