Quadratic Equation Solver
Solve ax² + bx + c = 0, including complex roots, vertex, and discriminant.
Formula
x = (−b ± √(b² − 4ac)) / 2a
Tips
- The discriminant alone tells you the root type: positive gives two real roots, zero gives one, negative gives a complex pair.
- The vertex is the parabola’s minimum when a > 0 and its maximum when a < 0.
Frequently asked questions
What if a = 0?
The equation is no longer quadratic but linear (bx + c = 0), with the single root x = −c/b. The tool detects and handles this.