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algorithm: quadratic formula #1151

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1 change: 1 addition & 0 deletions DIRECTORY.md
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Expand Up @@ -193,6 +193,7 @@
* [PowLogarithmic](Maths/PowLogarithmic.js)
* [PrimeCheck](Maths/PrimeCheck.js)
* [PrimeFactors](Maths/PrimeFactors.js)
* [QuadraticFormula](Maths/QuadraticFormula.js)
* [RadianToDegree](Maths/RadianToDegree.js)
* [ReverseNumber](Maths/ReverseNumber.js)
* [ReversePolishNotation](Maths/ReversePolishNotation.js)
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32 changes: 32 additions & 0 deletions Maths/QuadraticFormula.js
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/**
* @function quadraticFormula
* @description This script will find the the roots of a quadratic equation.
* @param {number} a
* @param {number} b
* @param {number} c
* @return {array}
* @see https://en.wikipedia.org/wiki/Quadratic_formula
* @example quadraticFormula(1, -3, -4) = [4, -1]
* @example quadraticFormula(1, 5, 6) = [-2, -3]
* @example quadraticFormula(1, -3, 8) = []
*/

const solveQuadraticEquation = (a, b, c) => {
if (typeof a !== 'number' || typeof b !== 'number' || typeof c !== 'number') {
return new TypeError('Some argument is not a number.')
}
const discriminant = (b ** 2) - (4 * a * c)
const denominator = 2 * a
let answer = []
if (discriminant > 0) {
const x1 = (-b + Math.sqrt(discriminant)) / denominator
const x2 = (-b - Math.sqrt(discriminant)) / denominator
answer = [x1, x2]
} else if (discriminant === 0) {
const x = (-b) / denominator
answer = [x]
}
return answer
}

export { solveQuadraticEquation }
9 changes: 9 additions & 0 deletions Maths/test/QuadraticFormula.test.js
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import { solveQuadraticEquation } from '../QuadraticFormula'

test('Quadratic Equation', () => {
expect(solveQuadraticEquation(1, -3, -4)).toStrictEqual([4, -1])
expect(solveQuadraticEquation(1, 5, 6)).toStrictEqual([-2, -3])
expect(solveQuadraticEquation(3, 24, 48)).toStrictEqual([-4])
expect(solveQuadraticEquation(1, -3, 8)).toStrictEqual([])
expect(solveQuadraticEquation(1, -2, 9)).toStrictEqual([])
})
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