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Math Tools

Quadratic Equation Solver

Solve ax² + bx + c = 0 with real and complex roots, vertex, and interactive parabola plot

Quadratic Equation Solver

Solve quadratic equations (ax² + bx + c = 0) with real & complex roots, vertex, discriminant, and interactive parabola plot.

Coefficient a (x²)

Coefficient b (x)

Constant c

1x² -5x + 6 = 0

Discriminant (Δ)b² - 4ac = 1

Root Type

Two Real Distinct Roots

Quadratic Roots

x₁ = 3.0000x₂ = 2.0000

Vertex (h, k)

(2.50, -0.25)

Axis of Symmetry

x = 2.50

Parabola Curve Vertex Roots

About Quadratic Equation Solver

Solve quadratic equations (ax² + bx + c = 0) instantly. Computes discriminant (Δ), real and complex conjugate roots, vertex coordinates (h, k), axis of symmetry, and factored forms.

Features an interactive canvas graph that renders the parabola curve, vertex point, and root intercepts visually.