Quadratic equation (Bhaskara) calculator

Solve quadratic equations (ax² + bx + c = 0) with the delta and roots step by step.

Roots

x₁ = 3 · x₂ = 2

Delta (Δ)1

x₁3

x₂2

How the calculation works

For ax² + bx + c = 0, compute the discriminant Δ = b² − 4ac and then x = (−b ± √Δ) / 2a.

If Δ > 0 there are two real roots; Δ = 0, one; Δ < 0, none.

What is the delta?

It is the discriminant (b² − 4ac). Its sign tells how many real roots the equation has.

Solve a simple rule of three (direct or inverse): enter three values and find the fourth.

Updated on June 17, 2026 · by Rafael Rossi · Methodology & sources