# Associations to the word «Quadratic»

## Wiktionary

QUADRATIC, adjective. (mathematics) of a polynomial, involving the second power (square) of a variable but no higher powers, as $$ax^2 + bx + c$$.
QUADRATIC, adjective. (mathematics) of an equation, of the form $$ax^2 + bx + c = 0$$.
QUADRATIC, adjective. (mathematics) of a function, of the form $$y = ax^2 + bx + c$$.
QUADRATIC EQUATION, noun. (mathematics) a polynomial equation of the second degree.
QUADRATIC FIELD, noun. (algebraic number theory) A number field of degree two.
QUADRATIC FORMULA, noun. The formula in the form $$x = \frac {-b \pm \sqrt{b^2 - 4ac}}{2a}$$ for finding roots of the quadratic equation.
QUADRATIC FUNCTION, noun. (mathematics) Any function whose value is the solution of a quadratic polynomial
QUADRATIC INTEGER, noun. (mathematics) A number (real or complex) which is a solution to an equation of the form $$x^2 + Bx + C = 0$$ for some integers B and C. For example 42, or 2+3i, or $$1+\sqrt{-3} \over 2$$.
QUADRATIC MEAN, noun. (mathematics) A type of average, calculated as the square root of the mean of the squares, ie. $$Q = \sqrt { x_1^2 + x_2^2 + ... + x_n^2 \over n }$$.
QUADRATIC RECIPROCITY, noun. (number theory) Mathematical theorem relating the Jacobi symbol $$\left({a \over b}\right)$$ to the inverted $$\left({b \over a}\right)$$, essentially relating the question of whether a is a square modulo b to the opposite question of whether b is a square modulo a (or modulo the prime factors).

## Dictionary definition

QUADRATIC, noun. An equation in which the highest power of an unknown quantity is a square.
QUADRATIC, noun. A polynomial of the second degree.