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- #1
- Feb 14, 2012
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Solve for real solutions of the following system:
$2z+z^2x=x$
$2y+y^2z=z$
$2x+x^2y=y$
I know, this isn't a very hard problem, thus, we should compete in terms of how many minutes (or hours) that we used to come up with a good solution. I said good but not smart because to me:
$\text{all workable solutions, be them short or long}=\text{good solutions}$

$2z+z^2x=x$
$2y+y^2z=z$
$2x+x^2y=y$
I know, this isn't a very hard problem, thus, we should compete in terms of how many minutes (or hours) that we used to come up with a good solution. I said good but not smart because to me:
$\text{all workable solutions, be them short or long}=\text{good solutions}$