> As far as I know there is no symbolical algorithm to determine roots
> of polynomials of 5th order.
>
> E.g. even wolfram alpha gives just numerical roots:
>
> http://www.wolframalpha.com/input/?i=roots+of+x**5+%2B+x**4+%2B+x**3+...

I didn't know that. I told you I was a casual user :)


> > Can't see this being user error but as a casual user it could be. Hope
> > this helps you fix a bug.
>
> Thanks for reporting it. How do you imagine the fix ---- there seems
> to be no algorithm to return a symbolic root. So you would expect
> roots() to automatically return numeric roots?

For me the main issue is not knowing why the result was an empty
dictionary. As indicated, in 0.6.5 is was a bug (now fixed) but now
its not a bug (no algorithm). How to distinguish? I think a simple
message stating no result available because there is no algorithm to
do so would be useful and save time and confusion.
Perhaps provide an optional argument to return numerical roots when no
symbolic algorithm is available. However I'm inclined to return an
empty dictionary if no roots available because its easier to test the
result.

Thanks for your help, sympy and the education.
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