#9538: internal side effect in roots?
------------------------+---------------------------------------------------
   Reporter:  zimmerma  |       Owner:  burcin            
       Type:  defect    |      Status:  new               
   Priority:  blocker   |   Milestone:                    
  Component:  calculus  |    Keywords:  roots, side effect
     Author:            |    Upstream:  N/A               
   Reviewer:            |      Merged:                    
Work_issues:            |  
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 Consider the following with Sage 4.4.4:
 {{{
 sage: var('a6,a5,a4,x')
 (a6, a5, a4, x)
 sage: e=15*a6*x^2 + 5*a5*x + a4
 sage: e.roots(x)
 [(-1/30*(sqrt(-12*a4*a6 + 5*a5^2)*sqrt(5) + 5*a5)/a6, 1),
 (1/30*(sqrt(-12*a4*a6 + 5*a5^2)*sqrt(5) - 5*a5)/a6, 1)]
 }}}
 This is fine. However:
 {{{
 sage: var('f6,f5,f4,x')
 (f6, f5, f4, x)
 sage: e=15*f6*x^2 + 5*f5*x + f4
 sage: e.roots(x)
 [(1/30*(-I*sqrt(35) - 5)/binomial(n, k), 1), (1/30*(I*sqrt(35) -
 5)/binomial(n, k), 1)]
 }}}
 WTF???

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9538>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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