#14215: solve with sqrt seems less than powerful
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   Reporter:  kcrisman     |             Owner:  burcin  
       Type:  enhancement  |            Status:  new     
   Priority:  major        |         Milestone:  sage-5.8
  Component:  symbolics    |          Keywords:          
Work issues:               |   Report Upstream:  N/A     
  Reviewers:               |           Authors:          
  Merged in:               |      Dependencies:          
   Stopgaps:               |  
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 {{{
 sage:  eq = x == sqrt(x)
 sage: solve(eq,x)
 [x == sqrt(x)]
 sage: solve(eq,x,to_poly_solve=True)
 [x == 0, x == 1]
 sage:  eq = x^2 == sqrt(x)
 sage: solve(eq,x,to_poly_solve=True)
 [x == x^(1/4), x == 0]
 sage:  eq = x^2 == -sqrt(x)
 sage: solve(eq,x,to_poly_solve=True)
 [x == sqrt(-sqrt(x)), x == 1/2*I*sqrt(3) - 1/2, x == 0, x ==
 -1/2*I*sqrt(3) - 1/2]
 sage:  eq = a*x**2 == -sqrt(x)
 sage: solve(eq,x,to_poly_solve=True)
 [x == -sqrt(-sqrt(x)/a), x == sqrt(-sqrt(x)/a)]
 }}}
 This is a simplification of an example a user posted on the Sage Facebook
 page.

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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14215>
Sage <http://www.sagemath.org>
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