A quadratic equation is an equation in one variable that can be written in the standard form a times x squared, plus b times x, plus c, equal to zero, where a, b and c are known coefficients and a is not zero. The values of the variable that satisfy the equation are called its solutions, roots or zeros, and a quadratic equation has at most two of them, real or complex, counted with multiplicity. The quadratic formula expresses these solutions directly in terms of the coefficients a, b and c, and can be derived by a technique called completing the square. Solutions to problems that amount to quadratic equations were known as early as 2000 BC, and because the equation involves only non-negative integer powers of the variable, it is classified as a second-degree polynomial equation. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Origin Yearsolutions known as early as 2000 BC Connections
In Branch
Source Wolfram MathWorld: Quadratic Equation
Is Kind Of Object
Sources
1. Quadratic Equation (Wikipedia)
Lead sectionQuote, Lead section
In mathematics, a quadratic equation (from Latin quadratus 'square') is an equation that can be rearranged in standard form as a x 2 + b x + c = 0 , {\displaystyle ax^{2}+bx+c=0\,,} where the variable x {\displaystyle x} represents an unknown number, and a, b, and c represent known numbers, where a ≠ 0.
Wolfram MathWorld: Quadratic Equation
Wolfram MathWorldIn Branch: Algebra, Subject classificationsQuote, In Branch: Algebra, Subject classifications
Algebra Algebraic Equations
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