9:13 AM
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I have to solve $ x+y+z=1$ and $xyz=1$ for a set of $(x, y, z)$. Are there any such real numbers? Edit : What if $x+y+z=xyz=r$, $r$ being an arbitrary real number. Will it still be possible to find real $x$, $y$, $z$?
I am not sure about symmetric-polynomials (which is the tag I've added) but algebra-precalculus seems to fit. And perhaps systems-of-equations is also worth adding.
7 hours later…
4:26 PM
specific-question This post was bumped for entirely other reasons, but maybe it makes sense also to correct tagging. Originally it was tagged general-topology. Adding order-theory seems reasonable to me. I am less sure about other tags.
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