Eli wrote:
> Hello,
> In the sage tutorial, I found how to solve equations:
> 
> sage: x, b, c = var('x b c')
> sage: solve([x^2 + b*x + c == 0],x)
> [x == (-sqrt(b^2 - 4*c) - b)/2, x == (sqrt(b^2 - 4*c) - b)/2]
> 
> However, I could not find how to assign the solution to some variable.
> That is, something that will do:
> assign the value  (-sqrt(b^2 - 4*c) - b)/2 (first solution of the
> equation) to the variable X
> assign the value  (sqrt(b^2 - 4*c) - b)/2 (second solution of the
> equation) to the variable Y
> 
> How can this  be done ?
> 

Here is a session showing one way to accomplish that.  The key is the 
solution_dict argument.


sage: f=x^2+b*x+c == 0
sage: soln = f.solve(x,solution_dict=True)
sage: soln
[{x: (-sqrt(b^2 - 4*c) - b)/2}, {x: (sqrt(b^2 - 4*c) - b)/2}]
sage: soln[0][x]
(-sqrt(b^2 - 4*c) - b)/2
sage: soln[1][x]
(sqrt(b^2 - 4*c) - b)/2
sage: X=soln[0][x]
sage: Y=soln[1][x]
sage: X
(-sqrt(b^2 - 4*c) - b)/2
sage: Y
(sqrt(b^2 - 4*c) - b)/2


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