On Wednesday, January 20, 2016 at 4:37:18 AM UTC+2, Junwei Huang wrote:
>
> Hello, I am new to sympy and try to solve the following equation
>
> import sympy as sy
> A,B,C,D,x=sy.var('A,B,C,D,x',positive=True)
> sy.solve(A*x**5+B*x**4+C*x-D,x)
>
> but got no result. There are no roots, or I used it in a wrong way? Thanks
>

It seems that this polynomial equation is not solvable by radicals in 
general. A general quintic
 x**5 + a*x**4 + b*x**3 + c*x**2 + d*x + e  can be transformed into the 
Bring-Jerrard normal form
x**5 + d*x + e  
(https://en.wikipedia.org/wiki/Bring_radical#Bring.E2.80.93Jerrard_normal_form) 
which is solvable only under special conditions between its two 
coefficients.

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