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  1. import java.util.Scanner;
  2.  
  3. public class Main {
  4.  
  5.        public static double sqrt(double n) {
  6.               double x, y, eps = 0.000001;
  7.               x = n;
  8.               y = 1.0;
  9.               while(x - y > eps) {
  10.                 x = (x + y) / 2;
  11.                 y = n / x;
  12.               }
  13.               return x;
  14.        }
  15.  
  16.        public static void NatureRootsQuadraticEquation( double a, double b, double c ) {
  17.  
  18.               double S, P, Delta, x1, x2;
  19.  
  20.               S = -b/a;
  21.               P = c/a;
  22.               Delta = b*b - 4*a*c;
  23.               System.out.println("\nVerify: ");
  24.               if(Delta < 0) {
  25.                 System.out.println("Imaginary");
  26.               } else {
  27.                 x1 = (-b-sqrt(Delta))/(2*a);
  28.                 x2 = (-b+sqrt(Delta))/(2*a);
  29.                 System.out.printf("x1 = %.2f\n",x1);
  30.                 System.out.printf("x2 = %.2f\n",x2);
  31.                 if( S >= 0 ) {
  32.                     if(P > 0) {
  33.                        System.out.println("x1 > 0 positive, x2 > 0 positive");
  34.                     } else if(P < 0){
  35.                        System.out.println("x1 < 0 negative, x2 > 0 negative, |x1| < |x2|");
  36.                     } else {
  37.                        System.out.println("x1 = 0 ,x2 > 0");
  38.                     }
  39.                 //the S < 0 negative
  40.                 } else {
  41.                   if(P > 0) {
  42.                      System.out.println("x1 < 0 positive, x2 < 0 negative");
  43.                   } else if(P < 0){
  44.                      System.out.println("x1 < 0 negative, x2 > 0 negative, |x1| > |x2|");
  45.                   } else {
  46.                      System.out.println("x1 = 0 ,x2 < 0");
  47.                   }
  48.                 }
  49.               }
  50.        }
  51.  
  52.        public static void main( String args[] ) {
  53.  
  54.               double a, b, c;
  55.               Scanner keyboard = new Scanner( System.in );
  56.               if(args.length > 1){
  57.               a = Double.parseDouble(args[0]);
  58.               b = Double.parseDouble(args[1]);
  59.               c = Double.parseDouble(args[2]);
  60.             } else {
  61.               System.out.println("Give A, B, C for Ax^2 + Bx + C = 0: ");
  62.               a = keyboard.nextDouble();
  63.               b = keyboard.nextDouble();
  64.               c = keyboard.nextDouble();
  65.             }
  66.               System.out.printf("The nature of the Roots Quadratic Equation: %.2fx^2 + %.2fx + %.2fc = 0", a, b, c);
  67.               NatureRootsQuadraticEquation(a,b,c);
  68.        }
  69. }
  70.  
Success #stdin #stdout 0.16s 60128KB
comments (?)
stdin
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1 4 -2
stdout
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Give A, B, C for Ax^2 + Bx + C = 0: 
The nature of the Roots Quadratic Equation: 1.00x^2 + 4.00x + -2.00c = 0
Verify: 
x1 = -4.45
x2 = 0.45
x1 < 0 negative, x2 > 0 negative, |x1| > |x2|
https://ideone.com/4HCLHQ
Nature Roots Quadratic Equation based on Viete's
language:
Java (HotSpot 12)
created:
1 year ago
visibility:
secret

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