Algebraic solution9 Maret 2010 pukul 03:50 | Ditulis dalam Uncategorized | Tinggalkan komentar
The solution of an algebraic equation, often one that seeks zeros of a polynomial, is sometimes said to admit an “algebraic solution” or a “solution in radicals” if function that expresses the solution in terms of the coefficients relies only on addition, subtraction, multiplication, division, and the extraction of roots. The most well-known example is the solution
introduced in secondary school, of the quadratic equation
(where a ≠ 0).
The Abel-Ruffini theorem states that the general quintic equation lacks an algebraic solution.
An algebraic solution is not the same thing as a closed-form expression.