Algebra · Second Degree Polynomial Solver

Quadratic Formula Calculator

Solve any quadratic equation: ax² + bx + c = 0 — with step-by-step solution

Quadratic Equation Solver

Enter the coefficients a, b, and c. Fractional values (e.g., 3/4) are accepted. a cannot be zero.

ax² + bx + c = 0
a =
b =
c =

Understanding the Quadratic Formula

📐 The Formula

x = [-b ± √(b² - 4ac)] / (2a)

The ± means two solutions: one with +, one with -.

🔍 Discriminant (Δ)

Δ = b² - 4ac
• Δ > 0: Two real roots
• Δ = 0: One real root (repeated)
• Δ < 0: Two complex roots