# Definition:Discriminant of Polynomial/Quadratic Equation

< Definition:Discriminant of Polynomial(Redirected from Definition:Discriminant of Quadratic Equation)

Jump to navigation
Jump to search
## Definition

Consider the quadratic equation:

- $a x^2 + b x + c = 0$

The expression $b^2 - 4 a c$ is called the **discriminant** of the equation.

## Also see

Note that this is a special case of the general discriminant, although it is important to note that the general formula is given for monic polynomials.

## Sources

- 1968: Murray R. Spiegel:
*Mathematical Handbook of Formulas and Tables*... (previous) ... (next): $\S 9$: Solutions of Algebraic Equations: $9.1$: Quadratic Equation