Comment #10 on issue 3699 by [email protected]: solve() should be able to tell you when it knows it's found all the solutions
http://code.google.com/p/sympy/issues/detail?id=3699

Yes, None is necessary, because we will always have algorithms that are heuristic (we don't know if they get all the solutions or not). The algorithm works conservatively. It splits the expression apart multiplicatively (factoring), and does a fuzzy all on the solutions returned by each factor.

A UnknownSolution class, which would generalize RootOf to non-polynomials, would be useful. How would evalf work, though? We have to know at least something about the solution we want to numerically evaluate it (to make sure we get the right one). Anyhow, I think that's a separate issue.

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