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If x(x+y) = y(y+z) = z(z+x) and x,y,z are positive integers, then is it definitely true that x=y=z?

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If
x(x+y) = y(y+z) = z(z+x)
and
x,y,z are positive integers.
Then is it definitely true that x=y=z

posted Sep 1, 2017 by anonymous

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