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quadratic

UK[kwɒˈdrætɪk]US[kwɑːˈdrætɪk]
adj

Involving a quantity or variable that is squared (raised to the power of two).

n

A quadratic equation or function.

Morpheme Breakdown

quadr
atic
quadr

four

atic

adjective-forming suffix

Etymology

The term 'quadratic' originates from the Latin verb quadrare, meaning 'to make square'. This verb is derived from the root quadr- (four), as a square has four sides. In classical geometry, finding the area of a square involved squaring its side length. This geometric concept of 'square' was later abstracted into algebra to denote an expression where a variable is raised to the second power, or 'squared'. Thus, the literal sense of 'pertaining to a square' evolved into the modern mathematical meaning pertaining to equations involving the square of an unknown quantity.

Analysis

Structure: quadr (four) + atic (adjective-forming suffix) - quadr: From Latin quadr-, meaning 'four' or 'square'. - atic: A suffix of Latin origin (-aticus) used to form adjectives, often indicating a relationship or pertaining to.

Examples

The quadratic formula can be used to find the roots of any quadratic equation.

She graphed the quadratic function, which produced a parabolic curve.

Solving quadratic equations is a fundamental skill in algebra.

quadratic – Meaning, Etymology & Word Origin | OpenEtymology