Algebra: solve quadratic equation

Program Plan:

• Import the required packages.
• Create a class Exercise
  • Define the main method.
  • Define the scanner input and prompt user to enter the value of a,b,c.
  • Get the input.
  • Calculate the discriminant value.
  • Condition to validate the discriminant value.
  • After validation the value gets of the root gets calculated based on the condition.
  • Display the result of roots.

The below program is used to solve the quadratic equation:

Program:

//import the required packages

import java.util.Scanner;

//define the class exercise

public class Exercise

{

public static void main(String[] args)

{

//scanner input

Scanner input = new Scanner(System.in);

/*prompt user to enter the value of the a,b and c*/

System.out.print("Enter a, b, c: ");

//get value of a

double a = input.nextDouble();

//get value of b

double b = input.nextDouble();

//get value of c

double c = input.nextDouble();

//equation to calculate the discriminant

double discriminant = b * b - 4 * a * c;

//condition to validate the discriminant value

if (discriminant < 0)

{

//display result

System.out.println("The equation has no real roots");

}

//condition to validate the discriminant value

else if (discriminant == 0)

{

//equation to calculate the root value

double r1 = -b / (2 * a);

//display result

System.out.println("The equation has one root " + r1);

}

//condition to validate the discriminant value

else

{

// (discriminant > 0)

//equation to calculate the root value

double r1 = (-b + Math.pow(discriminant, 0.5)) / (2 * a);

//equation to calculate the root value

double r2 = (-b - Math.pow(discriminant, 0.5)) / (2 * a);

//display result

System.out.println("The equation has two roots " + r1 + " and " + r2);

}

}

}

Enter a, b, c: 1

2.0

1

The equation has one root -1.0

Additional Output 1:

Enter a, b, c: 1.0

3

1

The equation has two roots -0.3819660112501051 and -2.618033988749895

Additional Output 2:

Enter a, b, c: 1

2

3

The equation has no real roots