Quadratic formula

Gives the solutions of a quadratic equation ax^2 + bx + c = 0 with a nonzero leading coefficient a. It is used to find the roots of any quadratic polynomial equation.

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

What the symbols mean

the unknown root(s) of the equation
coefficient of x^2, with a \ne 0
coefficient of x
constant term

About this formula

  • FieldMathematics
  • TopicAlgebra
  • LevelHigh school
  • Also calledquadratic equation formula, quadratic solution formula, solve quadratic equation, roots of quadratic equation, quadratic roots formula
  • SourceWikidata Q15909572

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