### What does **quadratic equation** mean?

# Definitions for quadratic equation

qua·drat·ic equa·tion

#### This dictionary definitions page includes all the possible meanings, example usage and translations of the word **quadratic equation**.

### Princeton's WordNet

quadratic equation, quadraticnoun

an equation in which the highest power of an unknown quantity is a square

### Wiktionary

quadratic equationnoun

a polynomial equation of the second degree.

### Wikipedia

Quadratic equation

In algebra, a quadratic equation (from Latin quadratus 'square') is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic.) The numbers a, b, and c are the coefficients of the equation and may be distinguished by respectively calling them, the quadratic coefficient, the linear coefficient and the constant coefficient or free term.The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side. A quadratic equation has at most two solutions. If there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two complex solutions that are complex conjugates of each other. A quadratic equation always has two roots, if complex roots are included; and a double root is counted for two. A quadratic equation can be factored into an equivalent equation where r and s are the solutions for x. The quadratic formula expresses the solutions in terms of a, b, and c. Completing the square is one of several ways for deriving the formula. Solutions to problems that can be expressed in terms of quadratic equations were known as early as 2000 BC.Because the quadratic equation involves only one unknown, it is called "univariate". The quadratic equation contains only powers of x that are non-negative integers, and therefore it is a polynomial equation. In particular, it is a second-degree polynomial equation, since the greatest power is two.

### ChatGPT

quadratic equation

A quadratic equation is a type of polynomial equation of the second degree, typically expressed in the format ax² + bx + c = 0, where 'x' represents an unknown variable, and 'a', 'b', and 'c' are coefficients. 'a' cannot be zero, otherwise the equation would not be quadratic but linear. The solutions to the quadratic equation are given by the quadratic formula.

### Freebase

Quadratic equation

In mathematics, a quadratic equation is a univariate polynomial equation of the second degree. A general quadratic equation can be written in the form where x represents a variable or an unknown, and a, b, and c are constants with a ≠ 0. ² The constants a, b, and c are called respectively, the quadratic coefficient, the linear coefficient and the constant term or free term. Quadratic equations can be solved by factoring, completing the square, using the quadratic formula, and graphing.²

### The Nuttall Encyclopedia

Quadratic Equation

an equation involving the square of the unknown quantity.

### Matched Categories

### Numerology

Chaldean Numerology

The numerical value of quadratic equation in Chaldean Numerology is:

**8**Pythagorean Numerology

The numerical value of quadratic equation in Pythagorean Numerology is:

**7**

## Translations for **quadratic equation**

### From our Multilingual Translation Dictionary

- quadratische GleichungGerman
- toisen asteen yhtälöFinnish
- équation du second degréFrench
- másodfokú egyenletHungarian
- քառակուսի հավասարումArmenian
- equazione quadratica, equazione di secondo gradoItalian
- 二次方程式Japanese
- tweedegraadsvergelijking, vierkantsvergelijkingDutch
- równanie kwadratowePolish
- ecuație de gradul al doilea, ecuație pătraticăRomanian
- квадратное уравнениеRussian
- ikinci derece denklem, ikinci dereceden denklemTurkish
- دو ضربی مساواتUrdu
- phương trình bậc haiVietnamese

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### Translation

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"quadratic equation." *Definitions.net.* STANDS4 LLC, 2023. Web. 10 Dec. 2023. <https://www.definitions.net/definition/quadratic+equation>.

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