Quadratic Equation Calculator

Solve quadratic equations instantly. Find real and complex roots, discriminant, and vertex for any quadratic equation ax² + bx + c = 0.

Equation

x² - 5x + 6 = 0

Coefficient a (a)

Coefficient b (b)

Coefficient c (c)

Solutions

Two real solutions

x₁ = 3.0000

x₂ = 2.0000

Discriminant

Δ = 1.00

Vertex

(2.50, -0.25)

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