won't evaluate answers given by solve()
I am solving an equation and then trying to plug in the answers it gives to show that the answers are correct, but sage will not evaluate the answers i plug in.
solve(x^3+1==0,x)
yields
[x == 1/2*I*sqrt(3)*(-1)^(1/3) - 1/2*(-1)^(1/3),
x == -1/2*I*sqrt(3)*(-1)^(1/3) - 1/2*(-1)^(1/3),
x == (-1)^(1/3)]
if you then put into sage (1/2*I*sqrt(3)*(-1)^(1/3) - 1/2*(-1)^(1/3))^3+1
the result it gives is (1/2*I*sqrt(3)*(-1)^(1/3) - 1/2*(-1)^(1/3))^3 + 1
. it's like it doesn't know what to do with it's own answers.
What result would you expect ?