Quadratic Equation Solver User Guide
The standard form of a quadratic equation is ax² + bx + c = 0, where a ≠ 0.
Quadratic Formula:
x = [-b ± √(b² - 4ac)] / (2a)
Discriminant Δ = b² - 4ac:
- Δ > 0: Two distinct real roots
- Δ = 0: One real root (double root)
- Δ < 0: Two complex conjugate roots
Parabola Properties:
- Opening direction: a > 0 opens upward, a < 0 opens downward
- Vertex: (-b/(2a), (4ac-b²)/(4a))
- Axis of symmetry: x = -b/(2a)
Use Quadratic Equation Solver to solve equations quickly!
