On Oct 24, 3:30 am, vasu <tewari.v...@gmail.com> wrote:
> Hi all
> Suppose I have an positive integer parameter  't', and a polynomial
> Delta(t) , which is a polynomial in 't' with coefficients being
> integers. Assume we also know that Delta(t) > 0.
> There is another polynomial with integer coefficients , say F(t).
> Consider an expression
>
> [x(t)]^3 = F(t) + i * sqrt ( D(t) )
>
> ( i being the square root of -1)
>
> Given a concrete value for t, I could always find the cube-roots. But
> is there a method in Sage, which gives me x(t) as a function of t.
>
> In case the question is ill-posed, I'd also be happy if there are
> methods which give approximations to the cube roots in terms of t
>
> Thanks
>
> Regards

I guess x(t) = (F(t)+i*sqrt(D(t)))^(1/3) is not the answer your are
looking for...

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