Calculators & Converters
Quadratic Equation Solver
The Quadratic Equation Solver finds both roots of any equation in the form ax² + bx + c = 0, handling all three cases: two real roots, one repeated root, or a pair of complex roots when the discriminant is negative.
The discriminant (b² − 4ac) is shown alongside the roots so you can see exactly which case applies.
How to Use the Quadratic Equation Solver
- Open the Quadratic Equation Solver.
- Enter the coefficients a, b and c from your equation.
- Read the roots and the discriminant.
Frequently Asked Questions
What if a is zero?
If a is zero, the equation isn't quadratic (it becomes linear), so the calculator will show an error asking you to enter a non-zero value for a.
What does a negative discriminant mean?
It means the equation has no real roots -- only a pair of complex conjugate roots, which the calculator displays in the form re ± im·i.
How is this solved?
It uses the standard quadratic formula, x = (−b ± √(b² − 4ac)) / 2a, computed directly in your browser.
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