On Fri, Jan 9, 2015 at 5:34 AM, Santanu Sarkar
<[email protected]> wrote:
> Dear all,
>
> I have one polynomial
> f_x(y) =y^3 +f_1(x) y^2 +f_2(x) y + f_3(x).
>
> Since it is a cubic polynomial, it has atleast
> one real root.
> I want to find that real root  as a function of x.
> I know that x \in [a,b].
>


There is a formula you can try to use:
http://en.wikipedia.org/wiki/Cubic_function#General_formula_for_roots


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