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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