The same results also happen in Sage 4.7 on 64 bit Debian.
var ('P X Y')
solve ([(1/2) == -1/2*(2*P - 1)/Y + P/X, Y == 2*P*X/(2*P + 1), Y == P
+ 1/2], P,X,Y)
On Jul 29, 10:52 pm, maor <maor....@gmail.com> wrote:
> I tried to solve the following simple 3 equations with 3 variables:
>
> sage: var ('P X Y')
> (P, X, Y)
>
> sage: eq
> [(1/2) == -1/2*(2*P - 1)/Y + P/X, Y == 2*P*X/(2*P + 1), Y == P + 1/2]
>
> sage: solve(eq,[P,X,Y])
> [[P == (-1/2), X == 0, Y == 0]]
>
> I know that there are 2 solutions, but solve returned a bad solution
> (X==0??? it is in the denominator)
>
> while playing with it a bit I discovered that the following (strange)
> definition works:
>
> sage: eq2
> [Y == P + 1/2, [(1/2) == -1/2*(2*P - 1)/Y + P/X, Y == 2*P*X/(2*P +
> 1)]]
>
> sage: solve(eq2,[P,X,Y])
> [[P == -1/2*sqrt(2) - 1/2, X == -sqrt(2) + 1, Y == -1/2*sqrt(2)], [P
> == 1/2*sqrt(2) - 1/2, X == sqrt(2) + 1, Y == 1/2*sqrt(2)]]
>
> I am working with sage 4.5.2 on Ubuntu 10.04 64 bit
>
> Thanks,
> Maor
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