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Involving the second and no higher power of an unknown quantity or variable.

*‘a quadratic equation’**‘In 1826 Cauchy, in the context of quadratic forms in n variables, used the term ‘tableau’ for the matrix of coefficients.’**‘If f = 0, then the quartic in y is actually a quadratic equation in the variable y 2.’**‘Smith also extended Gauss's theorem on real quadratic forms to complex quadratic forms.’**‘Find the 2 roots and a continued fraction for a root of these quadratic equations.’**‘He was able to use his methods to prove many results in the theory of quadratic forms and number theory.’*

A quadratic equation.

*‘Historically, imaginary numbers first came to light when trying to solve cubic equations, rather than quadratics.’**‘The sparseness of the quadratics is what is important here.’**‘This is certainly possible and the Babylonians' understanding of quadratics adds some weight to the claim.’**‘For that matter quadratics aren't all that tough.’**‘The thought that quadratics are now seen as ‘high brow’ really does, once again, make me despair.’*

Mid 17th century from French quadratique or modern Latin quadraticus, from quadratus ‘made square’, past participle of quadrare (see quadrate).

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