Finding when a equation has a solution



On Tue, Aug 07, 2007 at 03:42:08PM -0700, Suresh Govindachar` wrote:
> 
> Hello,
> 
>   This equation in x:
> 
>     x^5 * h + x^4 * f + x^3 * f + x^2 * f + x * f + f - g = 0
>   
>   has a closed form solution when g=h.
> 
>   Is it possible to use maxima to find out other relationships among
>   f, g and h which result in that equation having a closed form
>   solution?  If so, how?

I'm not that familiar with Galois Theory, but I think it's the area of
mathematics that you should look at to find answers to these questions.

-- 
Daniel Lakeland
dlakelan at street-artists.org
http://www.street-artists.org/~dlakelan