📉 Quadratic Formula Calculator
Solve any quadratic equation of the form ax² + bx + c = 0. Find roots, vertex, discriminant, and visualize the parabola.
ax² + bx + c = 0
Quadratic Formula Reference
The Quadratic Formula
x = (-b ± √(b² - 4ac)) / 2a
Discriminant (Δ = b² - 4ac)
| Δ > 0 | Two distinct real roots |
| Δ = 0 | One real root (repeated) |
| Δ < 0 | Two complex conjugate roots |
Vertex Form
Vertex = (-b/2a, -Δ/4a)