Discriminant Calculator Δ = b² − 4ac for ax²+bx+c. a b c Δ 1 Roots Two real Step-by-step with your numbers: 1. Values used: 2. a = 1 3. b = -3 4. c = 2 5. Δ = 1 6. Roots = Two real Did we solve your problem today? 👍 Yes 👎 No Thanks for the feedback! Δ > 0 → two real roots. FAQ Δ < 0? No real roots (complex). Related calculators Quadratic Formula Calculator Solve ax² + bx + c = 0 for its real roots. Cubic Equation Calculator Find a real root of ax³ + bx² + cx + d = 0. Completing the Square Calculator Rewrite ax² + bx + c in vertex form a(x − h)² + k.