Quadratic Equation Solver
Solve quadratic equations (ax² + bx + c = 0). Shows discriminant, real and complex roots, vertex, and axis of symmetry.
All processing happens in your browser. No data is uploaded.
Quadratic Equation Solver
Solve quadratic equations (ax² + bx + c = 0). Shows discriminant, real and complex roots, vertex, and axis of symmetry.
🔒All processing happens in your browser. No data is uploaded.
Coefficients
ax² + bx + c = 0
x^2 - 5x + 6 = 0
Discriminant
D = b² - 4ac
1
D > 0: Two distinct real roots
Roots
x₁
3
x₂
2
x = (-b ± √D) / 2aGraph Properties
Vertex (h, k)
(2.5, -0.25)
Axis of Symmetry
x = 2.5
Direction
Opens upward (a > 0)
Y-Intercept
(0, 6)
Summary
x^2 - 5x + 6 = 0
D = 1
x1 = 3, x2 = 2
Vertex: (2.5, -0.25)
Axis of symmetry: x = 2.5