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quadratic, mathematical expression of the second degree in one or more unknowns (see polynomial). The general quadratic in one unknown has the form ax2+bx+c, where a, b, and c are constants and x is the variable. A quadratic equation ax2+bx+c=0 always has two roots, not necessarily distinct; these may be real or complex (see number). The quadratic formula gives the roots of any quadratic equation in terms of its coefficients a, b, and c. The expression b2-4ac 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.

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"quadratic." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. 16 Jan. 2018 <http://www.encyclopedia.com>.

"quadratic." The Columbia Encyclopedia, 6th ed.. . Encyclopedia.com. (January 16, 2018). http://www.encyclopedia.com/reference/encyclopedias-almanacs-transcripts-and-maps/quadratic

"quadratic." The Columbia Encyclopedia, 6th ed.. . Retrieved January 16, 2018 from Encyclopedia.com: http://www.encyclopedia.com/reference/encyclopedias-almanacs-transcripts-and-maps/quadratic

quad·rat·ic / kwäˈdratik/ • adj. Math. involving the second and no higher power of an unknown quantity or variable: a quadratic equation. • n. a quadratic equation.

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"quadratic." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. 16 Jan. 2018 <http://www.encyclopedia.com>.

"quadratic." The Oxford Pocket Dictionary of Current English. . Encyclopedia.com. (January 16, 2018). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/quadratic-0

"quadratic." The Oxford Pocket Dictionary of Current English. . Retrieved January 16, 2018 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/quadratic-0

quadratic square; (math.) involving the second and no higher power of an unknown or variable. XVII. — F. quadratique or modL. quadrāticus. quadrature squaring. XVI. — F. or L.

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"quadratic." The Concise Oxford Dictionary of English Etymology. . Encyclopedia.com. 16 Jan. 2018 <http://www.encyclopedia.com>.

"quadratic." The Concise Oxford Dictionary of English Etymology. . Encyclopedia.com. (January 16, 2018). http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/quadratic-1

"quadratic." The Concise Oxford Dictionary of English Etymology. . Retrieved January 16, 2018 from Encyclopedia.com: http://www.encyclopedia.com/humanities/dictionaries-thesauruses-pictures-and-press-releases/quadratic-1

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