Quadratic Formula Calculator
Solve quadratic equations instantly. Enter coefficients and get real or complex roots with step-by-step solutions.
x² - 5x + 6 = 0
VertexRootsY-intercept
Solutions (Roots)
x₁ =3
x₂ =2

Two distinct real roots

Additional Information
Discriminant (Δ):1
Axis of Symmetry:x = 2.5
Vertex:(2.5, -0.25)
Y-Intercept:6

The Quadratic Formula

x = (-b ± √(b² - 4ac)) / 2a

Discriminant (Δ = b² - 4ac):

  • Δ > 0: Two distinct real roots
  • Δ = 0: One repeated real root
  • Δ < 0: Two complex conjugate roots

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