(Algebra: solve quadratic equations) The two roots of a quadratic equation ax2 + bx + c = 0 can be obtained using the following formula:

/*
(Algebra: solve quadratic equations) The two roots of a quadratic equation
ax^2 + bx + c = 0 can be obtained using the following formula:

b^2 - 4ac is called the discriminant of the quadratic equation. If it is positive, the
equation has two real roots. If it is zero, the equation has one root. If it is negative,
the equation has no real roots.
Write a program that prompts the user to enter values for a, b, and c and displays
the result based on the discriminant. If the discriminant is positive, display two
roots. If the discriminant is 0, display one root. Otherwise, display “The equation
has no real rootsâ€‌.
Note that you can use Math.pow(x, 0.5) to compute 2x.
*/
import java.util.Scanner;

public class Exercise_03_01 {
	public static void main(String[] args) {
		// Create a Scanner object
		Scanner input = new Scanner(System.in);

		// Prompt the user to enter values for a, b and c.
		System.out.print("Enter a, b, c: ");
		double a = input.nextDouble();
		double b = input.nextDouble();
		double c = input.nextDouble();

		// Compute the discriminant of the quadriatic equation.
		double discriminant = Math.pow(b, 2) - 4 * a * c;

		// Compute the real roots of the quadriatic equation if any.
		System.out.print("The equation has ");
		if (discriminant > 0)
		{
			double root1 = (-b + Math.pow(discriminant, 0.5)) / (2 * a);  
			double root2 = (-b - Math.pow(discriminant, 0.5)) / (2 * a);  
			System.out.println("two roots " + root1 + " and " + root2);
		}
		else if (discriminant == 0)
		{
			double root1 = (-b + Math.pow(discriminant, 0.5)) / (2 * a);
			System.out.println("one root " + root1);
		}
		else
			System.out.println("no real roots");
	}
}