Comment #9 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
Here's another issue to consider -- what if P(x) returns a polynomial and
F(x) returns an expression that has no solution that can be written
explicitly in terms of x. What should P(F(x)) return? Instead of saying
NotImplemented it could return the values that F(x) must have. RootOf
cannot contain such a thing, so perhaps a NumericalRootOf class should be
used, e.g. solve(x*(x - cos(x)) -> [0, NumericalRootOf(x - cos(x))]. If
Intervals (of some sort) gets smart enough perhaps an expression like that
can be analyzed and intervals for roots reported.
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