Solve any quadratic equation ax² + bx + c = 0 using the quadratic formula. Shows real and complex roots, discriminant, vertex, and graph.
Equation: ax² + bx + c = 0
Quick entry — enter equation like: x^2-5x+6=0
| Property | Value |
|---|
For ax² + bx + c = 0, the solutions are: x = (−b ± √(b²−4ac)) / 2a
| Δ value | Number of roots | Type |
|---|---|---|
| Δ > 0 | 2 real roots | Distinct real solutions |
| Δ = 0 | 1 real root (repeated) | Parabola touches x-axis |
| Δ < 0 | 0 real roots | Complex conjugate roots |