Status: Valid
Owner: ----
Labels: Type-Enhancement Priority-Medium Polynomial Solvers

New issue 3548 by [email protected]: Implement algorithm for solving quntics
http://code.google.com/p/sympy/issues/detail?id=3548

There is an algorithm described for solving quintics that can be solved in radicals at http://www.ams.org/journals/mcom/1991-57-195/S0025-5718-1991-1079014-X/S0025-5718-1991-1079014-X.pdf ("Solving solvable quintics", D. S. Dummit). I think it should be straightforward to implement if you know what you are doing.

An example polynomial that can be solved by the algorithm in the paper is x**5 + 15*x + 12.

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