Solve quadratic equations ax²+bx+c=0 using the quadratic formula. Shows all steps.
| Discriminant (b²−4ac) | — |
| Nature of Roots | — |
| x₁ | — |
| x₂ | — |
| Sum of roots | — |
| Product of roots | — |
x = (−b ± √(b²−4ac)) / 2a. If discriminant >0: two real roots. If =0: one repeated root. If <0: complex/imaginary roots.