Definitions for quadratic equation
qua·drat·ic equa·tion

Princeton's WordNetRate this definition:0.0 / 0 votes

1. quadratic equation, quadraticnoun

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

WiktionaryRate this definition:0.0 / 0 votes

1. quadratic equationnoun

   a polynomial equation of the second degree.

WikipediaRate this definition:0.0 / 0 votes

1. 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.

ChatGPTRate this definition:0.0 / 0 votes

1. 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.

FreebaseRate this definition:0.0 / 0 votes

1. 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 EncyclopediaRate this definition:0.0 / 0 votes

1. Quadratic Equation

   an equation involving the square of the unknown quantity.

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1. • Equation

How to pronounce quadratic equation?

1. Alex

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How to say quadratic equation in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of quadratic equation in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of quadratic equation in Pythagorean Numerology is: 7