Updates:
        Status: NeedsDecision

Comment #5 on issue 2981 by krastano...@gmail.com: document the "check" option of solve()
http://code.google.com/p/sympy/issues/detail?id=2981

Maybe I have misunderstood the idea behind check=False. In this case issue 2992 should be marked as WontFix. But still about the documentation I think it's important to decide if this should be added:

"""
rough explanation of the effects of check=False

check=True produces correct answers (near the zero) if expr=O(x)/O(1). check=False helps to find correct answers when expr=O(x**p)/O(x**q) if p>q but produces incorrect answers if p<=q.
"""

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