# quadratic

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Related to quadratic: quadratic equation, quadratic formula

## quadratic,

mathematical expression of the second degree in one or more unknowns (see polynomial**polynomial,**

mathematical expression which is a finite sum, each term being a constant times a product of one or more variables raised to powers. With only one variable the general form of a polynomial is

*a*

_{0}

*x*

^{n}+

*a*

_{1}

*x*

**.....**Click the link for more information. ). The general quadratic in one unknown has the form

*ax*

^{2}+

*bx*+

*c,*where

*a, b,*and

*c*are constants and

*x*is the variable. A quadratic equation

*ax*

^{2}+

*bx*+

*c*=0 always has two roots

**root,**

in mathematics, number or quantity

*r*for which an equation

*f*(

*r*)=0 holds true, where

*f*is some function. If

*f*is a polynomial,

*r*is called a root of

*f;*for example,

*r*=3 and

*r*

**.....**Click the link for more information. , not necessarily distinct; these may be real or complex (see number

**number,**

entity describing the magnitude or position of a mathematical object or extensions of these concepts.

**The Natural Numbers**

Cardinal numbers describe the size of a collection of objects; two such collections have the same (cardinal) number of objects if their

**.....**Click the link for more information. ). The quadratic formula

gives the roots of any quadratic equation in terms of its coefficients

*a, b,*and

*c.*The expression

*b*

^{2}−4

*ac*is called the discriminant and vanishes when the two roots coincide. If

*a, b,*and

*c*are real and the discriminant is not less than zero, the roots are real.

The Columbia Electronic Encyclopedia™ Copyright © 2013, Columbia University Press. Licensed from Columbia University Press. All rights reserved. www.cc.columbia.edu/cu/cup/

## quadratic

[kwä ′drad·ik] (mathematics)

Any second-degree expression.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## quadratic

*Maths*

**1.**an equation containing one or more terms in which the variable is raised to the power of two, but no terms in which it is raised to a higher power

**2.**of or relating to the second power

Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

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