Quadratic Equation Calculator — Quadratic Formula
CalculatorA quadratic equation calculator finds the discriminant and roots of ax²+bx+c=0 from coefficients a, b, and c.
What is it
A quadratic equation has x² as its highest-power term. The sign of the discriminant b²-4ac determines whether the equation has two real roots, a repeated root, or complex roots.
x = (-b ± √(b² - 4ac)) / 2a
How to use
- 1Enter coefficients a, b, and c.
- 2Press calculate.
- 3Check the discriminant, root type, and roots.
Reference
| Equation | Roots |
|---|---|
| x² - 3x + 2 = 0 | 1, 2 |
| x² + 2x + 1 = 0 | -1 |
Sources & standards
- MDN Web Docs: Client-side web APIs - MDN Web Docs
FAQ
What is the quadratic formula?
For ax²+bx+c=0, x = (-b ± √(b²-4ac)) / 2a.
Is quadratic calculator input sent to a server?
No. This tool runs in your browser and does not send input to a server.