Added QuadraticRoots to Math/QuadraticRoots.js #1376

Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,37 @@
	/**
	* @see https://www.cuemath.com/algebra/roots-of-quadratic-equation/
	* @author Dibya Debayan Dash
	* Calculates the roots of a quadratic equation of the form ax^2 + bx + c = 0.
	*
	* @param {number} a - Coefficient of x^2.
	* @param {number} b - Coefficient of x.
	* @param {number} c - Constant term.
	* @returns {number[]} - An array containing the roots if they are real,
	* or an empty array indicating no real roots.
	*
	* @example
	* // Find the roots of the quadratic equation: 2x^2 - 4x + 2 = 0
	* const roots = quadraticRoots(2, -4, 2);
	* // Expected output: [1]
	*/
	const quadraticRoots = (a, b, c) => {
	// Calculate the discriminant
	const discriminant = b * b - 4 * a * c

	// Check if roots are real
	if (discriminant < 0) {
raklaptudirm marked this conversation as resolved. Show resolved Hide resolved
	return []
	} else if (discriminant === 0) {
	// One real root
	return [-b / (2 * a)]
	} else {
	// Two real roots
	const sqrtDiscriminant = Math.sqrt(discriminant)
	return [
	(-b + sqrtDiscriminant) / (2 * a),
	(-b - sqrtDiscriminant) / (2 * a)
	]
	}
	}

	export { quadraticRoots }

13 changes: 13 additions & 0 deletions Maths/test/QuadraticRoots.test.js

Show comments View file Open in desktop

Original file line number	Diff line number	Diff line change
		@@ -0,0 +1,13 @@
	import { quadraticRoots } from '../QuadraticRoots.js'

	describe('quadratic roots', () => {
	it('returns an array with two real roots when the discriminant is positive', () => {
	expect(quadraticRoots(1, -3, 2)).toEqual([2, 1])
	})
	it('returns an array with one real root when the discriminant is zero', () => {
	expect(quadraticRoots(1, -2, 1)).toEqual([1])
	})
	it('returns an empty array indicating no real roots when the discriminant is negative', () => {
	expect(quadraticRoots(1, 2, 5)).toEqual([])
	})
	})

Navigation Menu