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Nonnegative Integer Decision Poser (Posted on 2016-03-22) Difficulty: 3 of 5
Consider this system of equations:
A+B*C = (A+B)2, and:
B+C*A = (B+C)2, and:
C+A*B = (C+A)2, and:

It is observed that A=B=C=0 trivially satisfies the above system of equations.

Does there exist any further nonnegative integer solutions to the above system of equations?

Provide adequate reasoning for your answer.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionSolutionBrian Smith2016-03-22 13:54:30
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