[kwo-drat-ik] /kwɒˈdræt ɪk/

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

1650s, “square,” with -ic + obsolete quadrate “a square; a group of four things” (late 14c.), from Latin quadratum, noun use of neuter adjective quadratus “square, squared,” past participle of quadrare “to square, set in order, complete” (see quadrant). Quadratic equations (1660s) so called because they involve the square of x.
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.


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  • Quadratic-equation

    noun, Mathematics. 1. an equation containing a single variable of degree 2. Its general form is ax 2 + bx + c = 0, where x is the variable and a, b, and c are constants (a ≠ 0).

  • Quadratic-form

    noun, Mathematics. 1. a polynomial all of whose terms are of degree 2 in two or more variables, as 5 x 2 − 2 xy + 3 y 2 .

  • Quadratic-formula

    noun, Mathematics. 1. the formula for determining theroots of a quadratic equation from its coefficients: .

  • Quadratic-residue

    noun, Mathematics. 1. a number x that is relatively prime to a given integer y and for which a number z exists whose square gives the same remainder as x when divided by y.

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