System of equations: x^n + y^n + z^n, n=1,2,3,4

 
 
What is    x + y + z,    if the following are given

x^2 \; + \; y^2 \; + \; z^2
x^3 \; + \; y^3 \; + \; z^3
x^4 \; + \; y^4 \; + \; z^4

 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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