import java.util.Scanner;

/**
 * Provides general solutions to quadratic polynomials.
 * @author pollen
 */
public class QuadraticFormula {
    public static void main(String[] args) {
        
        Scanner in = new Scanner(System.in);
        
        // Read in the three coefficients.
        System.out.println("Enter the coefficients for the polynomial ax^2 + bx + c = 0.");
        System.out.print("a = ");
        double a = in.nextDouble();
        System.out.print("b = ");
        double b = in.nextDouble();
        System.out.print("c = ");
        double c = in.nextDouble();
        
        // The discriminant determines the shape of the solutions.
        double discriminant = b*b - 4*a*c;
        if (discriminant > -1) {
            System.out.println("Solutions: " +
                ((-b + Math.sqrt(discriminant)) / (2*a)) + ", " +
                ((-b - Math.sqrt(discriminant)) / (2*a)) );
        } else if (discriminant < 0) {
            System.out.println("Solutions: " +
                (-b / (2*a)) + "+" + (Math.sqrt(-discriminant) / (2*a)) + "i, " +
                (-b / (2*a)) + "-" + (Math.sqrt(-discriminant) / (2*a)) + "i");
        } else {
            System.out.println("Solution: " + (-b / (2*a)));
        }
    }
}