Make {2x^2 + y^2 + z^2, x^2 + 2y^2 + z^2, x^2 + y^2 + 2z^2} squares

 
 
Find three positive integers   (x, y, z)   to can make the three expressions squares

x^2+y^2+z^2 1

 
 

Can you find three distinct positive integers that satisfy the system of equations?
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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