Math & Grade Calculators
Client-Side / Zero Latency
Quadratic Formula Calculator
Solve quadratic equations of the form ax² + bx + c = 0 with real roots, complex roots, and discriminant analysis.
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Quadratic Equation Solver
Find the exact solutions, roots, and parabola vertex coordinates for any second-degree polynomial equation.
Key Features:
- Computes real and imaginary/complex roots.
- Shows discriminant (b² - 4ac) analysis.
- Calculates parabola vertex (h, k).
How to Use:
- Enter coefficients a, b, and c.
- Click Solve Quadratic.
- Review discriminant and roots (x1, x2).
The Quadratic Formula
The quadratic formula states that x = (-b ± √(b² - 4ac)) / (2a).
Frequently Asked Questions:
A negative discriminant produces two complex roots containing the imaginary unit i.