Quadratic equation | Solve quadratic equation
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PolynomialequationofdegreetwoThisarticleisaboutalgebraicequationsofdegreetwoandtheirsolutions.Fortheformulausedtofindsolutionstosuchequations,seeQuadraticformula.Forfunctionsdefinedbypolynomialsofdegreetwo,seeQuadraticfunction.Inalgebra,aquadraticequation(fromLatinquadratus square)isanyequationthatcanberearrangedinstandardformas[1]ax2+bx+c=0,{displaystyleax{2}+bx+c=0,,}wherexrepresentsanunknownvalue,anda,b,andcrepresentknownnumbers,wherea≠0.(Ifa=0andb≠0thentheequationislinear,notquadratic.)T...
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Polynomial equation of degree two
This article is about algebraic equations of degree two and their solutions. For the formula used to find solutions to such equations, see Quadratic formula. For functions defined by polynomials of degree two, see Quadratic function.In algebra, a quadratic equation (from Latin quadratus square) is any equation that can be rearranged in standard form as[1]
ax2+bx+c=0,{displaystyle ax{2}+bx+c=0,,} 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.[2]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 sol...