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.