Quadratic Solver

A powerful and easy-to-use Command Line Interface (CLI) application for solving and visualizing quadratic equations. This tool computes key properties of quadratic functions and provides a graphical representation of the curve.

Note: It is recommended to use the stable release.

Features

• Solve quadratic equations of the form: ax² + bx + c = 0

• Compute:

  • Real or complex roots
  • Discriminant
  • Vertex (turning point)
  • Axis of symmetry
  • Ordered pairs (for plotting)
  • Nature of roots (distinct, repeated, or complex)

• Graph the quadratic function directly from the CLI

Installation

Install via pip:

pip install quadratic-solver

Usage

Start by importing the model in Python:

from quadratic_solver.model import QuadraticFunctions

Make an instance of QuadraticFunctions:

qf = QuadraticFunctions(8, 23, 1)

Then call the methods:

qf.quadratic_formula()  # solve and display the roots, discriminant, vertex and axis of symmetry
qf.plot_and_display_graph() # plot and display graph of the quadratic function

Methods

• convert_to_float - convert user input (a, b, c) to float and returns it.
• vertex - return tuple of ordered pair (vertex) of the function.
• discriminant - returns the discriminant of the function.
• quadratic_formula - solve and display the roots, discriminant, vertex and axis of symmetry
• plot_and_display_graph - plot and display graph of the quadratic function

Example Output

Quadratic Equation: x² - 3x + 2 = 0

Discriminant: 1
Roots: x₁ = 2, x₂ = 1

Nature of Roots: Real and Distinct

Vertex: (1.5, -0.25)
Axis of Symmetry: x = 1.5

Sample Points:
(0, 2)
(1, 0)
(2, 0)
(3, 2)

A graph window will also appear displaying the parabola.

Graphing

The application automatically generates a plot of the quadratic function, highlighting:

• The roots
• The vertex
• The curve shape (concave up or down)

How It Works

The app uses standard quadratic formula logic:

x = (-b ± √(b² - 4ac)) / (2a)

• If the discriminant is:

  • > 0 → Two real roots
  • = 0 → One repeated root
  • < 0 → Two complex roots

Graphing is handled programmatically using Python plotting libraries.

Requirements

• Python 3.10+

• Required dependencies (installed automatically):

  • matplotlib
  • numpy

Contributing

Contributions are welcome!

1. Fork the repository
2. Create a new branch
3. Make your changes
4. Submit a pull request

License

This project is licensed under the MIT License.

Future Improvements

• Batch processing of multiple equations
• Interactive mode with command flags

Author

Built by Uchenna Adubasim

Support

If you find this project useful, consider giving it a star on GitHub!