Quadratic Equation Solver
Solve quadratic equations (ax² + bx + c = 0). Find real and complex roots using the quadratic formula.
How to Use This Calculator
Enter your values in the fields above and click "Calculate" to get instant results. This quadratic equation solver provides accurate results with step-by-step explanations.
Formula
x = (-b ± √(b²-4ac)) / 2a
Quick Examples
- x²-5x+6=0 → x=2, x=3
- x²+2x+1=0 → x=-1 (double)
- x²+1=0 → x=±i
Frequently Asked Questions
What is the quadratic formula?
The quadratic formula x = (-b ± √(b²-4ac)) / 2a solves any equation of the form ax² + bx + c = 0.
What does the discriminant tell us?
If discriminant > 0: two real roots. If = 0: one repeated root. If < 0: two complex roots.