This is a complete, professional, single-file application. It incorporates Tailwind CSS for styling, Chart.js for data visualization, and Lucide for iconography.
Save the following code as an `.html` file (e.g., `quadratic-solver.html`) and open it in any modern browser.
```html
Free Quadratic Equation Root Solver and Parabola Plotter
Quadratic Equation Solver
Real-time roots calculation and parabola visualization
Equation Parameters
Analysis
Parabola Plot
How it works
Standard Form: Enter coefficients for ax² + bx + c = 0.
'a' Coefficient: Must be non-zero for a quadratic. If set to 0, the app treats it as a linear equation.
Visualization: The chart automatically scales based on the vertex location and roots.
Clipboard: Click the copy icon in the results section to grab the root values.