Question

The standard form of quadratic equation is given by: 

ax² + bx + c = 0, where d = b² − 4ac, is known as discriminant that determines the nature of the roots of the equation as: 

Condition	Nature
if d >= 0	Roots are real
if d < 0	Roots are imaginary

Write a program to determine the nature and the roots of a quadratic equation, taking a, b, c as input. If d = b² − 4ac is greater than or equal to zero, then display 'Roots are real', otherwise display 'Roots are imaginary'. 

The roots are determined by the formula as: 

`"r"1 = (-b + sqrt(b^2 - 4ac))/(2a), "r"2 = (-b - sqrt(b^2 - 4ac))/(2a)`

Answer 1

import java.util.*;
public class Q4
{
public static void main(String args[])
{
Scanner in = new Scanner(System.in);
int a, b, c;
long d;
System.out.printin("Enter the values for a, b and c");
a = in.nextInt();
b = in.nextInt();
c = in.nextInt();
d = Math.round(Math.pow(b, 2) - 4 * a * c);
System.out.println("Discriminant (d) = " + d);
if (d >= 0)
System.out.println("Roots are real");
else
System.out.println("Roots are imaginary");
} 
}