System {2(x^3 + y^3), 2(x^2 + y^2)^4}

 
 
Give integral solutions of the system:

2 \,(x^3 + y^3) \; = \; a^3 \; + \; b^3 \; + \; c^3
2 \,(x^2 + y^2)^4 \; = \; (c^2 - a^2)^4 \; + \; (c^2 - b^2)^4 \; + \; (b^2 - a^2)^4

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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