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Nonnegative Integer Decision Poser (Posted on 2016-03-22)

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.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

NO. There does not exist any further nonnegative integer solutions to the above system of equations.
For an explanation, refer to the solution submitted by Brian Smith in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Solution	Brian Smith	2016-03-22 13:54:30

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