Quadratic Equations - Research Article from World of Mathematics

This encyclopedia article consists of approximately 3 pages of information about Quadratic Equations.
This section contains 601 words
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A quadratic equation is a second order, univariate polynomial with constant coefficients and can usually be written in the form: ax2 + bx + c = 0, where a 0. In about 400 B.C. the Babylonians developed an algorithmic approach to solving problems that give rise to a quadratic equation. This method is based on the method of completing the square. Quadratic equations, or polynomials of second-degree, have two roots that are given by the quadratic formula: x = (-b +/- (b2 - 4ac))/2a. There is another form of this equation yielding the roots for a quadratic equation that is obtained by first dividing the original quadratic equation through by x: x = (2c)/(-b +/- (b2 - 4ac)). This equation, which provides the roots to the quadratic equation, is often useful when b2 > 4ac. In these cases the usual form providing roots to the quadratic equation can yield erroneous numerical...

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This section contains 601 words
(approx. 3 pages at 300 words per page)
Buy the Quadratic Equations Encyclopedia Article
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Quadratic Equations from World of Mathematics. ©2005-2006 Thomson Gale, a part of the Thomson Corporation. All rights reserved.