Quadratic Formula Package

A simple Node.js package for solving the quadratic formula ( ax^2 + bx + c = 0 ). It returns the real roots (if any) of the equation.

Installation

npm install quadratic-formula

(If you have not published to npm yet, replace the name with the actual name you use, or install using a local file path.)

Usage

// CommonJS import
const solveQuadratic = require('quadratic-formula');

// If using ES modules:
// import solveQuadratic from 'quadratic-formula';

const roots = solveQuadratic(1, -3, 2);
// x^2 - 3x + 2 = 0
// The roots for this equation should be [1, 2].

console.log(roots);
// => [1, 2]

Function Signature

function solveQuadratic(a, b, c) 

• a (number): Coefficient of ( x^2 ) (must not be 0)
• b (number): Coefficient of ( x )
• c (number): Constant term
• Returns:
  • An array of one or two real solutions if they exist.
  • null if there are no real solutions (i.e., discriminant < 0).

Examples

1. One Real Root
   If the discriminant ( b^2 - 4ac ) is 0, the function returns an array with one element.

   const solveQuadratic = require('quadratic-formula');
   
   const root = solveQuadratic(1, 2, 1); 
   // x^2 + 2x + 1 = 0 => -1 (double root)
   console.log(root); 
   // => [-1]

2. No Real Roots
   If the discriminant is negative, it returns null.

   const solveQuadratic = require('quadratic-formula');
   
   const result = solveQuadratic(1, 2, 3); 
   // x^2 + 2x + 3 = 0 => no real solutions
   console.log(result); 
   // => null

Contributing

1. Clone or fork this repository.
2. Make your changes or enhancements.
3. Submit a pull request or open an issue for discussion.

License

This project is licensed under the MIT License.
Feel free to use, modify, or distribute under the terms of the license.