#2617: solve() can return undefined points as "solutions"
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   Reporter:  cwitty    |       Owner:  was       
       Type:  defect    |      Status:  new       
   Priority:  critical  |   Milestone:  sage-4.3.1
  Component:  calculus  |    Keywords:            
Work_issues:            |      Author:            
   Upstream:  N/A       |    Reviewer:            
     Merged:            |  
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Comment(by robert.marik):

 I had an idea to introduce new option to solve, which
 [[BR]]
 1. Takes only explicit solutions
 [[BR]]
 2. Substitutes into equation and if an error appears, removes this
 "solution" from the list.
 [[BR]]

 The problem in this approach is, that for example ln(0)=-Infinity in Sage
 and so x=0 will be still reported as a solution of x/ln(x)=0. The problem
 could be solved by substituting values in Maxima and not in Sage, but I am
 still thinking on some cleaner solution. And still  have no idea what
 should be returned as solution of x*ln(x-3) == 0. Distinguish in this new
 option, if the user works in real domain or in complex doman? Something
 like check_domain = False, True, or 'real'?

 [[BR]]

 Any idea?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/2617#comment:6>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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