System of equations: x – 1/x = y, y – 1/y = z, z – 1/z = x

 
 
Determine whether or not the following system has any integer solutions

x \; - \; 1/x \; = \; y
y \; - \; 1/y \; = \; z
z \; - \; 1/z \; = \; x

 
 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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