Quadratic Equation Solver

Solve ax² + bx + c = 0 quadratic equations to find real and complex roots, discriminant, and vertex coordinates.

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1x² - 5x + 6 = 0

Coefficient 'a' (x²)1

Coefficient 'b' (x)-5

Constant 'c'6

Solutions for x

x₁ = 3.0000, x₂ = 2.0000

Discriminant (Δ = b² - 4ac)

Nature of Roots

Two distinct real roots

Vertex of Parabola (x, y)

(2.5, -0.25)

x = [-b ± √(b² - 4ac)] / (2a)

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