actually this case looks like has some special properties and hence has 
some roots according to Wolfram:

http://www.wolframalpha.com/input/?i=A*x%5E5%2BB*x%5E4%2BC*x-D%3D0

On Tuesday, January 19, 2016 at 11:41:47 PM UTC-6, Denis Akhiyarov wrote:
>
> no algebraic roots according to this theorem: 
> https://en.wikipedia.org/wiki/Abel%E2%80%93Ruffini_theorem
>
> On Tuesday, January 19, 2016 at 8:37:18 PM UTC-6, 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
>>
>>
>>
>>

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