derive the quadratic equation in javascript

To derive the quadratic equation in JavaScript, you can follow the steps below:

Step 1: Create a function that accepts the coefficients a, b, and c of the quadratic equation as parameters. Step 2: Calculate the discriminant using the formula b^2 - 4ac. Step 3: Check the value of the discriminant.

• If the discriminant is greater than 0, there are two distinct real solutions.
• If the discriminant is equal to 0, there is one real solution.
• If the discriminant is less than 0, there are no real solutions. Step 4: Calculate the roots of the quadratic equation based on the value of the discriminant.
• If the discriminant is greater than 0, the roots can be calculated using the formulas (-b + sqrt(discriminant)) / (2a) and (-b - sqrt(discriminant)) / (2a).
• If the discriminant is equal to 0, the root can be calculated using the formula (-b) / (2a).
• If the discriminant is less than 0, there are no real roots. Step 5: Return the calculated roots or an appropriate message based on the value of the discriminant.

Here's an example implementation of the quadratic equation derivation in JavaScript:

index.tsx
function quadraticEquation(a, b, c) {
  let discriminant = b * b - 4 * a * c;
  let roots;

  if (discriminant > 0) {
    let root1 = (-b + Math.sqrt(discriminant)) / (2 * a);
    let root2 = (-b - Math.sqrt(discriminant)) / (2 * a);
    roots = [root1, root2];
  } else if (discriminant === 0) {
    let root = -b / (2 * a);
    roots = [root];
  } else {
    roots = [];
  }

  return roots.length > 0 ? 'Roots: ' + roots.join(', ') : 'No real roots';
}

// Example usage
console.log(quadraticEquation(1, -3, 2)); // Roots: 2, 1
console.log(quadraticEquation(1, -2, 1)); // Roots: 1
console.log(quadraticEquation(1, 2, 3)); // No real roots
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In the example above, the quadraticEquation function calculates the discriminant and returns the roots (if any) as an array. The roots are then printed to the console.