Quadratic Equation Calculator
Solve quadratic equations of the form ax² + bx + c = 0 and find their roots.
Solving a quadratic equation by hand means computing the discriminant and applying the quadratic formula carefully. Lilu Baba's Quadratic Equation Calculator does it instantly — enter the three coefficients and see both roots update live, including complex roots when the discriminant is negative.
How to use this calculator
- Enter the coefficients a, b and c from ax² + bx + c = 0.
- Roots update instantly as you type.
- If the discriminant is negative, complex roots are shown instead.
Root 1 (x₁)
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Root 2 (x₂)
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FAQ
Quadratic Equation Calculator — frequently asked questions
x = (−b ± √(b² − 4ac)) / 2a, applied to an equation of the form ax² + bx + c = 0.
The equation has no real roots — this calculator shows the two complex roots instead.