Quadratic Equation Calculator

Solve quadratic equations of the form ax² + bx + c = 0 with detailed solutions and visual graph.

Coefficient a: Cannot be zero

Coefficient b:

Coefficient c:

Quick Examples:

Discriminant (Δ = b² - 4ac):

Nature of Roots:

Root 1 (x₁):

Root 2 (x₂):

Vertex:

Axis of Symmetry:

Red point: Vertex | Green points: Roots (x-intercepts) | Blue curve: Parabola