import java.util.Scanner;
public class Quadratic5 {
  public static void main (String[] Args) {
    System.out.println("Solving quadratic equations ax^2 + bx + c = 0");
    System.out.println("Enter real numbers a, b, c");
    Scanner getInput = new Scanner(System.in);
    double a = getInput.nextDouble();
    double b = getInput.nextDouble();
    double c = getInput.nextDouble();
    double discriminant = b*b - 4.0*a*c;
    double ans;
    if (a == 0) {
      if (b==0) {
	if (c==0) {
	  System.out.println("Silly equation; all values are roots");
	} else {
	  System.out.println("Degenerate equation; no roots");
	}
      } else {
	System.out.println("a linear equation; only one root");
	ans = -c/b;
	System.out.println("The one root is " + ans);
      }
    } else if (discriminant < 0) {
      System.out.println("No (real) roots");
    } else if (discriminant == 0) {
      System.out.println("One (double) root");
      ans = -b/(2*a);
      System.out.println("The double root(s) is/are " + ans);
    } else {			// discriminant > 0
      double ans1 = (-b + Math.pow(discriminant,0.5))/(2.0*a);
      double ans2 = (-b - Math.pow(discriminant,0.5))/(2.0*a);
      System.out.println("The roots are " + ans1 + " and " + ans2);
    }
  }
}
// Local Variables:
// compile-command: "javac Quadratic5.java"
// c-basic-offset: 2
// End: