Algorithms and Data Structures implemented in JavaScript for beginners, following best practices.
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/**
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* @see https://www.cuemath.com/algebra/roots-of-quadratic-equation/
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* @author Dibya Debayan Dash
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* Calculates the roots of a quadratic equation of the form ax^2 + bx + c = 0.
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*
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* @param {number} a - Coefficient of x^2.
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* @param {number} b - Coefficient of x.
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* @param {number} c - Constant term.
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* @returns {number[]} - An array containing the roots if they are real,
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* or an empty array indicating no real roots.
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*
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* @example
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* // Find the roots of the quadratic equation: 2x^2 - 4x + 2 = 0
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* const roots = quadraticRoots(2, -4, 2);
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* // Expected output: [1]
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*/
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const quadraticRoots = (a, b, c) => {
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// Calculate the discriminant
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const discriminant = b * b - 4 * a * c
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// Check if roots are real
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if (discriminant < 0) {
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return []
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} else if (discriminant === 0) {
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// One real root
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return [-b / (2 * a)]
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} else {
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// Two real roots
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const sqrtDiscriminant = Math.sqrt(discriminant)
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return [
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(-b + sqrtDiscriminant) / (2 * a),
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(-b - sqrtDiscriminant) / (2 * a)
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]
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}
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}
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export { quadraticRoots }
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