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[kwo-drat-iks] /kwɒˈdræt ɪks/

noun, (used with a singular verb)
the branch of algebra that deals with equations.
[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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