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Quadratic Formula Solver
Solve quadratic equations ax²+bx+c=0 with step-by-step solutions, discriminant analysis, and vertex.
Calculator
Quadratic Formula Solver
Solve quadratic equations with step-by-step solutions.
Coefficients (ax² + bx + c = 0)
1x² − 5x + 6 = 0
Discriminant & Roots
Discriminant (Δ)
1
2 distinct real roots
x₁
3
x₂
2
Parabola Properties
Vertex
(2.5, -0.25)
Axis of Symmetry
x = 2.5
Direction
Opens upward
Y-Intercept
6
Vieta's Formulas
Sum of roots (x₁ + x₂ = −b/a)
5
Product of roots (x₁ · x₂ = c/a)
6