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Quadratic Equation Solver
Solve axยฒ + bx + c = 0 with real or complex roots, vertex, and axis of symmetry.
Coefficients (ax^2 + bx + c = 0)
Solution
- Discriminant (b^2 - 4ac)
- 1
- Roots
Two real roots: x1 = 2, x2 = 1
- Vertex (h, k)
- (1.5, -0.25)
- Axis of symmetry
- x = 1.5
About This Tool
Enter coefficients a, b, and c to solve any quadratic equation. Displays the discriminant, both roots (real or complex), vertex coordinates (h, k), and axis of symmetry. Handles all cases: two distinct real roots, one repeated root, and complex conjugate roots.