Monday, June 16, 2008

Quadratic equation

In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is


ax^2+bx+c =0

where a ≠ 0. (For a = 0, the equation becomes a linear equation.)

The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x^2, the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term.

Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared.

Quadratic formula
A quadratic equation with real or complex coefficients has two (not necessarily distinct) solutions, called roots, which may or may not be real, given by the quadratic formula:



are solutions.

Simply put, ± means 'plus or minus' as equation possibilities.

Next : Determinant