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Problem of the Day #391: Cyclic Triplets April 13, 2012

Posted by Saketh in : potd , trackback

Consider the function $f(x) = \frac{100x^2}{1+100x^2}$. Find all ordered triples of real numbers $(a,b,c)$ such that $f(a) = b$, $f(b) = c$, and $f(c) = a$.

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