Updates:
        Labels: -NeedsReview NeedsBetterPatch

Comment #45 on issue 1694 by smichr: solve has many issues with fractions
http://code.google.com/p/sympy/issues/detail?id=1694

Two bad solutions are slipping through after applying the patch:

from sympy import *
var('x')
x
eq=x**Rational(1,2)+x**Rational(1,3)+x**Rational(1,4)
ans=solve(eq,x)
for a in ans:
...     print eq.subs(x,a).n()
...     
3.03718975207477 - 6.02638994367449*I
0
3.03718975207477 + 6.02638994367449*I

Perhaps your check function should check the abs() of the result obtained after substituting in the solution.

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