fixed at http://trac.sagemath.org/sage_trac/ticket/8487

R.M.

On 9 bře, 05:26, Markus <[email protected]> wrote:
> Hi,
>
> when trying to compute the intersection points of 2 circles i got
> strange results.
>
> Example 1:
>
> c1(x,y)=(x-5)^2+y^2-25; c2(x,y)=(y-3)^2+x^2-9
> solve([c1(x,y)==0,c2(x,y)==0],x,y)
>
> produces the expected result:
>
> [[x == (45/17), y == (75/17)], [x == 0, y == 0]]
>
> Example 2:
> (circle 1 smaller)
>
> c1(x,y)=(x-5)^2+y^2-16; c2(x,y)=(y-3)^2+x^2-9
> solve([c1(x,y)==0,c2(x,y)==0],x,y)
>
> produces the unexpected result:
>
> []
>
> whereas intersection points do exist, e.g.
> x=(-9(sqrt(55)-15)/68, y=(-3(sqrt(55)-41)/68
>
> Is it because Example 1 has a rational result, whereas Examples 2 has
> an irrational one?
>
> Thanks for any help.
>
> Markus

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