#### Aim:

To write a java program that displays the roots of a quadratic equation ax2+bx=0. Calculate the

discriminate D and based on the value of D, describe the nature of the root.

#### Program:

import java.util.*; class quadraticdemo { public static void main(String[] args) { int a, b, c; double r1, r2, D; Scanner s = new Scanner(System.in); System.out.println("Given quadratic equation:ax^2 + bx + c"); System.out.print("Enter a:"); a = s.nextInt(); System.out.print("Enter b:"); b = s.nextInt(); System.out.print("Enter c:"); c = s.nextInt(); D = b * b - 4 * a * c; if(D > 0) { System.out.println("Roots are real and unequal"); r1 = ( - b + Math.sqrt(D))/(2*a); r2 = (-b - Math.sqrt(D))/(2*a); System.out.println("First root is:"+r1); System.out.println("Second root is:"+r2); } else if(D == 0) { System.out.println("Roots are real and equal"); r1 = (-b+Math.sqrt(D))/(2*a); System.out.println("Root:"+r1); } else { System.out.println("Roots are imaginary"); } } }

#### Output:

Given quadratic equation:ax^2 + bx +c Enter a:2 Enter b:3 Enter c:1 Roots are real and unequal First root is:-0.5 Second root is:-1.0