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In this program we are going to find all roots of a Quadratic Equation
public class Quadratic {
public static void main(String[] args) {
double a = 2.3, b = 4, c = 5.6;
double root1, root2;
double determinant = b * b - 4 * a * c;
// condition for real and different roots
if(determinant > 0) {
root1 = (-b + Math.sqrt(determinant)) / (2 * a);
root2 = (-b - Math.sqrt(determinant)) / (2 * a);
System.out.format("root1 = %.2f and root2 = %.2f", root1 , root2);
}
// Condition for real and equal roots
else if(determinant == 0) {
root1 = root2 = -b / (2 * a);
System.out.format("root1 = root2 = %.2f;", root1);
}
// If roots are not real
else {
double realPart = -b / (2 *a);
double imaginaryPart = Math.sqrt(-determinant) / (2 * a);
System.out.format("root1 = %.2f+%.2fi and root2 = %.2f-%.2fi", realPart, imaginaryPart, realPart, imaginaryPart);
}
}
}
What You get as Output , After running the program
root1 = -0.87+1.30i and root2 = -0.87-1.30i