Write a Java Program to Find all Roots of a Quadratic Equation

Write a Java Program to Find all Roots of a Quadratic Equation

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public class Main {

  public static void main(String[] args) {

    // value a, b, and c
    double a = 2.3, b = 4, c = 5.6;
    double root1, root2;

    // calculate the determinant (b2 - 4ac)
    double determinant = b * b - 4 * a * c;

    // check if determinant is greater than 0
    if (determinant > 0) {

      // two real and distinct roots
      root1 = (-b + Math.sqrt(determinant)) / (2 * a);
      root2 = (-b - Math.sqrt(determinant)) / (2 * a);

      System.out.format("root1 = %.2f and root2 = %.2f", root1, root2);
    }

    // check if determinant is equal to 0
    else if (determinant == 0) {

      // two real and equal roots
      // determinant is equal to 0
      // so -b + 0 == -b
      root1 = root2 = -b / (2 * a);
      System.out.format("root1 = root2 = %.2f;", root1);
    }

    // if determinant is less than zero
    else {

      // roots are complex number and distinct
      double real = -b / (2 * a);
      double imaginary = Math.sqrt(-determinant) / (2 * a);
      System.out.format("root1 = %.2f+%.2fi", real, imaginary);
      System.out.format("\nroot2 = %.2f-%.2fi", real, imaginary);
    }
  }
}

Final output

  1. public class Main {
  2.   public static void main(String[] args) {
  3.     // value a, b, and c
  4.     double a = 2.3, b = 4, c = 5.6;
  5.     double root1, root2;
  6.     // calculate the determinant (b2 – 4ac)
  7.     double determinant = b * b  4 * a * c;
  8.     // check if determinant is greater than 0
  9.     if (determinant > 0) {
  10.       // two real and distinct roots
  11.       root1 = (+ Math.sqrt(determinant)) / (2 * a);
  12.       root2 = ( Math.sqrt(determinant)) / (2 * a);
  13.       System.out.format(“root1 = %.2f and root2 = %.2f”, root1, root2);
  14.     }
  15.     // check if determinant is equal to 0
  16.     else if (determinant == 0) {
  17.       // two real and equal roots
  18.       // determinant is equal to 0
  19.       // so -b + 0 == -b
  20.       root1 = root2 = / (2 * a);
  21.       System.out.format(“root1 = root2 = %.2f;”, root1);
  22.     }
  23.     // if determinant is less than zero
  24.     else {
  25.       // roots are complex number and distinct
  26.       double real = / (2 * a);
  27.       double imaginary = Math.sqrt(determinant) / (2 * a);
  28.       System.out.format(“root1 = %.2f+%.2fi”, real, imaginary);
  29.       System.out.format(\nroot2 = %.2f-%.2fi”, real, imaginary);
  30.     }
  31.   }
  32. }

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