Updates:
Status: Accepted
Cc: smichr nicolas.pourcelot
Labels: Solvers
Comment #1 on issue 2072 by asmeurer: solve(x**(1/2)) returns []
http://code.google.com/p/sympy/issues/detail?id=2072
So for the first one, you have not imported division from __future__, so it
is doing integer division on 1/2, i.e., it reduces to x**0 == 1. See
http://docs.sympy.org/gotchas.html#python-numbers-vs-sympy-numbers.
But you definitely have found a bug with sqrt(x) and sqrt(x**3).
Chris/Nicolas, do these work in your issue 1694 branch(s)?
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