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Question: How do I denote algebraic extension fields, K? Is Cardano's formula pre-programmed?

Question:How do I denote algebraic extension fields, K? Is Cardano's formula pre-programmed?

resolvent 588 Maple
algebra complex integer
September 07 2007
0
The command root(f(x),x, K) to compute roots of a univariate polynomial f(x), (let f(x) have integer coefficients), will not return an answer unless *I* do the WORK FIRST of FINDING THE ROOT to determine over WHICH FIELD (algebraic field, if it's algebraic) some of the roots of f(x) lie. The help manual demonstrates this with simple quadratics only. One writes the radical part of the quadratic solution for K, i.e. root(x^2-3,x,3^(1/2)) Mathematica had the complete Cardano formulae programmed in for both the cubic and the quartic polynomials with completely indeterminate coefficients. Does Maple not have the same feature? How do I denote the field of real numbers for K? Substituting "R" for "K" does not work. Nor "C" for "K" is I want the field of complex numbers.
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