Quadratic Formula Calculator: solve quadratic formula problems step-by-step. Clear formula, worked example, and FAQs included.
x = (−b ± √(b² − 4ac)) ÷ 2a
Discriminant Δ = b² − 4ac: Δ > 0 → two distinct real roots; Δ = 0 → one repeated root; Δ < 0 → two complex roots.
Example: x² − 5x + 6 = 0. a=1, b=−5, c=6. Δ = 25−24 = 1. x = (5 ± 1) ÷ 2. Roots: x₁ = 3, x₂ = 2.