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📐 Quadratic Equation Solver

Solve ax² + bx + c = 0 with real or complex roots, see the discriminant, vertex, axis of symmetry, and a plot of the parabola. Enter any real numbers — including fractions like -1.5.

Coefficients

x² − 3x + 2 = 0

Roots

Solution
Discriminant b² − 4ac
Nature of roots

Parabola Properties

Vertex (min/max point)
Axis of symmetry
Y-intercept
Vertex form

Plot

Step-by-Step