Comment #60 on issue 1694 by asmeurer: solve has many issues with fractions
http://code.google.com/p/sympy/issues/detail?id=1694
Actually, it can happen. Here is a trivial example. The roots are
obviously really 1 and 0, and reduce to such:
In [1]: solve(x**2 + x + sin(y)**2 + cos(y)**2 - 1, x)
Out[1]:
⎡ ⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽
⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎽⎤
⎢ ╱ 2 2 ╱ 2
2 ⎥
⎢ ╲╱ 5 - 4⋅cos (y) - 4⋅sin (y) ╲╱ 5 - 4⋅cos (y) - 4⋅sin
(y) ⎥
⎢-1/2 - ──────────────────────────────, -1/2 +
──────────────────────────────⎥
⎣ 2
2 ⎦
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