Algebraic solution

9 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

x=\frac{-b \pm \sqrt {b^2-4ac\  }}{2a}.

introduced in secondary school, of the quadratic equation

ax^2 + bx + c =0\,

(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.

Tinggalkan sebuah Komentar »

RSS feed for comments on this post. TrackBack URI

Tinggalkan Balasan

Isikan data di bawah atau klik salah satu ikon untuk log in:

Logo WordPress.com

You are commenting using your WordPress.com account. Logout / Ubah )

Gambar Twitter

You are commenting using your Twitter account. Logout / Ubah )

Foto Facebook

You are commenting using your Facebook account. Logout / Ubah )

Foto Google+

You are commenting using your Google+ account. Logout / Ubah )

Connecting to %s

Buat situs web atau blog gratis di WordPress.com.
Entries dan komentar feeds.

%d blogger menyukai ini: