Algebra. involving the square and no higher power of the unknown quantity; of the second degree.
a quadratic polynomial or equation.

1650–60; quadrate + -ic

quadratically, adverb
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World English Dictionary
quadratic (kwɒˈdrætɪk)
1.  Also called: quadratic equation 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 English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

1650s, "square," from quadrate (late 14c.), from L. quadratus "square," pp. of quadrare "to square," related to quattuor "four" (see four). Quadratic equations (1660s) so called because they involve the square of x.
Online Etymology Dictionary, © 2010 Douglas Harper
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American Heritage
Science Dictionary
quadratic   (kwŏ-drāt'ĭk)  Pronunciation Key 
Relating to a mathematical expression containing a term of the second degree, such as x2 + 2. ◇ A quadratic equation is an equation having the general form ax2 + bx + c = 0, where a, b, and c are constants. ◇ The quadratic formula is x = -b ± √(b2 - 4ac)/2a. It is used in algebra to calculate the roots of quadratic equations.
The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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Example sentences
Let me fit a quadratic function to one of these x-position plots as though the disk had a constant horizontal velocity.
The quadratic equation may have instilled horror in many of us.
Definition of quadratic probing, possibly with links to more information and implementations.
On implementing a primal-dual interior-point method for conic quadratic optimization.
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