# Quadratic formula

From WikiAlpha

The **quadratic formula** is the mathematical formula used to find the two real and distinct, real and identical, or imaginary and distinct roots of a quadratic equation of the form ax^2+bx+c.

The quadratic formula is -b±(b^2-4ac)/2a and the **discriminant** which determines what type of roots the equation will have is b^2-4ac.

Value of b^2-4ac | Type of solution |

> 0 | Real and distinct roots |

= 0 | Real and identical roots |

< 0 | Imaginary and distinct roots |

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