Quadratic Equation Solver

Solve ax² + bx + c = 0 using the quadratic formula. Handles real and complex roots.

1x² - 5x + 6 = 0

a (coefficient of x²)

b (coefficient of x)

c (constant)

Roots

Two Real Roots

Δ = b² - 4ac = 1.0000

x₁ = 3.000000

x₂ = 2.000000

DirectionOpens Upward ↑

Vertex(2.5000, -0.2500)

Axis of Symmetryx = 2.5000

y-intercept(0, 6)

Discriminant (Δ)1.000000

Sum of Roots (-b/a)5.000000

Product of Roots (c/a)6.000000