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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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