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PROGRAM: Java Program to Find all Roots of a Quadratic Equation
/* Java Program to Find all Roots of a Quadratic Equation */
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 discriminant (b2 – 4ac)
double discriminant = b * b – 4 * a * c;
// check if discriminant is greater than 0
if (discriminant > 0) {
// two real and distinct roots
root1 = (-b + Math.sqrt(discriminant)) / (2 * a);
root2 = (-b – Math.sqrt(discriminant)) / (2 * a);
System.out.format(“root1 = %.2f and root2 = %.2f”, root1, root2);
}
// check if discriminant is equal to 0
else if (discriminant == 0) {
// two real and equal roots
// discriminant is equal to 0
// so -b + 0 == -b
root1 = root2 = -b / (2 * a);
System.out.format(“root1 = root2 = %.2f;”, root1);
}
// if discriminant is less than zero
else {
// roots are complex number and distinct
double real = -b / (2 * a);
double imaginary = Math.sqrt(-discriminant) / (2 * a);
System.out.format(“root1 = %.2f+%.2fi”, real, imaginary);
System.out.format(“\nroot2 = %.2f-%.2fi”, real, imaginary);
}
}
}
