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9:13 AM
I guess tag can be safely removed from here, right?
34
Q: Is it possible to have 3 real numbers that have both their sum and product equal to 1?

bikalpaI 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 $x$, $y$, $z$?

Found through HNQ.
I am not sure about (which is the tag I've added) but seems to fit. And perhaps is also worth adding.
 
 
7 hours later…
4:26 PM
This post was bumped for entirely other reasons, but maybe it makes sense also to correct tagging. Originally it was tagged . Adding seems reasonable to me. I am less sure about other tags.
6
Q: Does the fact that every interval in $\mathbb{R}$ is connected implies that $\mathbb{R}$ is order-complete?

MarcusSuppose that every open interval in $\mathbb{R}$ is a connected set. Does this implies the least upper bound axiom? (i.e every non-empty subset of $\mathbb{R}$ which is bounded above has a least upper bound) Is this true? in such case, how would you prove this?

 

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