10-26 Exercise 3: Find roots of a quadratic equation

0 like 1 dislike
5.3k views

Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i
[Exercise] Coding (C) - asked in Chapter 5: Selection Statements by (5.2k points)
ID: 28934 - Available when: 2017-10-26 18:00 - Due to: Unlimited
reopened by | 5.3k views
0 0
We will continue this question in few days
commented by (12.1k points)
0 0
Everything is fixed. Enjoy your time with The Judge :)
commented by (12.1k points)
0 0
ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
commented by (-249 points)
0 0
Your code has newline at the end sometime. You learned this lesson many times!
commented by (12.1k points)
0 0
After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.
commented by (-214 points)
0 0
your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge
commented by (9.9k points)

56 Answers

0 like 0 dislike 
Hidden content!
#include <stdio.h>
 *        *    **
int main()
{
*  *** ***  * **** ***   *         ***    * *    * **   
** ****  **   *    *   * * ***  ** * *  %f **** ***     *  *** ** * **     *
* ***  ** * ***      **********     = (b*b-4*a*c);
*   *    ** **   * ** * *     = (-b + sqrt(D))/(2*a);
 *  ***  **** *  *   ******* ** *   = (-b - sqrt(D))/(2*a);
**    **** * * ** ** **  *    ****  = -b/(2*a);
 *   * **  * ***  *   * *** * * *  =sqrt(-D)/(2*a);
   * *   ** *  * *  **       *****  
  ****       *  ** *   ** **
**  * **  ** *       *****   *  ****    *** **** * **  **   ** * of %.2fx^2 + %.2fx + %.2f = 0 are real and  ** ** **       ** * *
 * **   *  *   * **  *     *** * ***     *******  *****  **** = %.2f\nx2 = %.2f",x1,x2);
*  ** ***   **   **  ** * *

  * * * * * * ***  ** ** ******  if(D==0)
*   ***** *  * *    *  * *  ***
    ** ***  * * *** ***** * ******* *  * **  ** *  ** *   *  *** *  of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
 **    *** ***** *  **  *       ****  *** *  **  ***** * *  *  = x2 = %.2f",x1);
 *      * **  *  *  **  *
 ***  **  * **  ***** ** *    *
 *    ****  *** *** **  
 ***** ** * *    *    *  ***    *** * ** *** ** *  ** *   * * ** ***  of %.2fx^2 + %.2fx + %.2f = 0 are complex and      ****    * * *   
*** * * *   *** * *** *****   ** * *       ****  *   * * **    ** **  = *  *  ** * ****    *  **     *
 *  * ** * * *****      **   ** ** **      *** ***  ***    ****   * * =    * *  *   **  **  ***** **
*  ** * ***   *  ****** * *   ** *
    **  *****    ** **   **  *  0;
}
answered by (-281 points)
0 0
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
#include <stdio.h>
     ***** ** ***
int main()
{
***** *  ****   *   ** ** *  *   * * *  *      * **  ** *  * 
   *   * *  **** **  * ** * * * ** * * * %f   *  *        *   *** ***  * ***
  ***    *  * ** *  ***   = (b*b-4*a*c);
* *** * *****    **      *  *** = (-b + sqrt(D))/(2*a);
    * *****  *  **    **** * **  * = (-b - sqrt(D))/(2*a);
*  *  ** * **** * * *  * ** * **** = -b/(2*a);
 ***    *   **** **  **** *  ** **   ***   =sqrt(-D)/(2*a);
    *  ***   **  **     ** *** **  * *
*  *  * ** **  * ***   **
    *   * ** *  *** *    *    ***  * * *****   *  * ** ***  *  * of %.2f x^2 + %.2f x + %.2f = 0 are real and  * *  **  * * * * *  ***
**   *  **  * * *     *** * *  **  ***    ***** * ***  *  **** * = %.2f\nx2 = %.2f",x1,x2);
**** *    *  * **         * *

  * *  ***  * ***** ** * **  if(D==0)
      *  *  ** *  ** * *****
 * * ** * ***   * *    *   *****    *  *** * ***     *   *** **   of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
   * *** * * *** *  *  * **  **  *  ***          * ***** *  *******   *    *** = x2 = %.2f",x1);
 * * *     **   ***   * **
** *  **    *     ** ** *    **
  *     ** *  * **      * * 
 ** * *****        *  ***   *******  *** ** * * **  *  *  ***   *  ******   of %.2fx^2 + %.2fx + %.2f = 0 are complex and * **   *** * ****
** ** **    *  ******   ******  ***    ******   *  * ******  ** *   *  * **  =    *  ***  *** * ** ****  *  *
 ***  * *  **  *    *  *  ** ******  ***** **  *  **     **** *  =    *  * *  * ** * *  * **  * 
  ** * *******   **  
 ** * ****     * *   ** * *  *  **      0;
}
answered by (-281 points)
0 0
Case 0: Correct output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
#include <stdio.h>
#include <stdlib.h>

int main()

{
*   *  * * *  *** **  *      ** a,b,c,x1,x2,D=0;
 ***   * ** * *   **** *     *  
 *** **  ***    * ***  **  ***    ** * ** *** %f *  *** ** *  ** *  *** ** 
  **   *   *** ** **  **
* ** ** **** ** **   **    * * **
   ****** *  * **  ** **  **** + sqrt(D))/(2*a);
******** * *** *    * *   *   * - sqrt(D))/(2*a);
     ** ***  **   *  * **
* **  * ** * *****  * * * ***** *    *
      *** * *** **   ** **
* *  *** ***** ** * *   **    * * *** * *   *  ********   **   * * ***** of %.2fx^2+%.2fx+%.2f=0 are complex and *  *    ** *    ****   * ** ** 
****   *   *  ***  ** 
   *  * * **  * **    *  
*  **    *****   * * * ***  *     if(D==0)
*  * *****  *   *  *  ***
    **  *** ***   * * ** * * ****** **    * *    ***   *** *   of %.2fx^2+%.2fx+%.2f=0 are real and same\nx1=x2=%.2f",a,b,c,x1);
**  ** ** **  ***** ** *  
*****     * * ***  ***  ***
***  ** ** *** * * *  ** *  **
**         *  * *** *  * * *
 *** *   **** * ** *    **      *   **** *  *  ** ***  *   * of %.2fx^2+%.2fx+%.2f=0 are real and **  *** * * ** ** *  *  *** **** 
* * **  * * * ***  * *   *
* *  ***** ***** ** * **
 * * *  ** **   *** **    **   * 
* * * **  *   *     * *  * *  0;
}
answered by (-127 points)
0 0
prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
   ** * * * *    ** 
int main()
{
   * ** * * *  ***       * *   * a,b,c,D;
** *   ** * *  *     ** ***    *  x1,x2,r,i;
   * *    ***** ** *  ******    *     ***  * * **** * * ** ** ** * *  * ** *
**** * ** ***  * *** * ** *  *  *   
  *  * ***  *  **   *   *  *** *  ** **
 ***    ** *******   *  ** **     * * *
 *****  * ** * *    * ***** ****   
 *** ****  *   **** * *  **  **
** *        **  *    *** *    ****  *** * *   *   *  *** *** ** *    *   of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
*    ******   **  *    **    *  ***** * *  *   *  * **  **** * = x2 = %.2f",x1);
 **  ** * ****** * **   *
* ****** *   * * ** **  *   * if(D>0)
* ** *   **  * *      *** *
 * * * ** * *   *** ****   *        * ** ** *  **** *  * ****  **** of %.2fx^2 + %.2fx + %.2f = 0 are complex and * ******  ***        *  
  *  ***    **  **** ****  *    * * *   *      *  *** * **   * * = %.2f\n",x1);
* * **    ******     *   ** * * *** ***  **  **  **  * ***    * * = %.2f",x2);
*   **** * *  * **  **  *** ** * 
* * ** * *** * ** *  *   if(D<0)
  ***  **** *******  *   *  
** * ***   *****      * ** *  *** ***   ** *** **** *******  of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
 ******    ******  *****  **** * * * *** *  ******* * *** -b/(2*a);
**   ***  * ** * * ***  *  ** ***   **   ****  *** * * * * 
  *   * ***    ******  **   ** **     **  *******   ** *  *  ***   = %.2f+%.2fi\n",r,i);
**   * * *   * ***      **  ****  **  *   * *****  * * **  **** = %.2f-%.2fi",r,i);
** *** **  *****   ** ***   **
}
answered by (-329 points)
0 0
prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
   *  **  ** ** * **   *
int main()
{
**** **** * **** * **  **     * a,b,c,D;
**  ** ***  **  * **  * ***   ** x1,x2,r,i;
*  *    *** * *  * *  ***   * ** *  *   *    * * *  * **   * *   *   
*** ****   **   *  ***  * * **  
   *     *  * ** * * *****  * ******** * 
*   *** * * *  **      ** ***   * *  
 ****  **  *   * *  *  *** ****
 ******* * *   *** * ******  *
** *****  *  * **    * *  * **  *** ** ** **** * * *  **  * *      *** of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
* *   **     *  *  *    **    ***  **  *   ** *  *       **   *       * *  = x2 = %.2f",x1);
 **  ***   **  *   * * * *****
 ****  *    *   **  * ***** *   if(D>0)
*** *  * ** *  ****  **  *
** *   * ***  ** ***** **  * * ** *    *          *  * *******    of %.2fx^2 + %.2fx + %.2f = 0 are complex and   ** ******    *   
 **  *  **********  **  * ** *** *  * **** * **  *      **   **  * = %.2f\n",x1);
  *      * **   * * **  *     *** *      *  ** *   *  *  * * ****  = %.2f",x2);
 **      *  * *** * *   **      
*  *  *  * *  ***** ***   ** * *  if(D<0)
 * *   *  ** * *  * *  **    * 
 *   **  * *  *   *  ** **   *  ***   *  * * **  *  *        ***   *       of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
  * * *  * *** **  *  * *      *       * **** **** * ***** -b/(2*a);
    * * *****  *  *  *** * ** ** *  *** *** *    * *  **  
 *** * * **  *  * * * ** ***  ** **  * * ******* **  ********* ****   = %.2f+%.2fi\n",r,i);
    * * ****** *  *       *     **        * **  **   ***   *****  * = %.2f-%.2fi",r,i);
* ***     *     * ***** *** **
}
answered by (-329 points)
0 0
prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
{
 * *   *  *   ** * *   * **  * a,b,c,d,x1,x2;
  *****    **** ** * ** *   ** ***** *** * ****** **       *    * ** *  *
*   *    ***     **   ***     **   *****
* *  * **  **** ***** ** ***   *** * ***
****    *   **  * ** * *  *   ** ***   *
 *   *** *  *    **  *     ****   * 
*** *  *** *   ** ***  
   ***  *** * * **  *   * **  *   *  *  *** *    ****   *          ***  of %.2fx^2 + %.2fx + %.2f = 0 are real and *  **        **** * *
 ** *   *     ****    *   *  ** *      ****  ** *    *  **  = %.2f\n",x1);
***  *    ****  * *****  * **     **** **  ***     **       *      = %.2f",x2);
*** *  **   **  * *** *** * * **
      *  * ***  **     *******    if(d==0)
 ******* * **  **  *  **  
**  ** * * *  *  **         * * * * ** *  ** ** *** * *** *** **  of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
 * *  * * ** * *  *    * ** **    * ***** * * * ***      * ***  = x2 = %.2f",x1);
 ** * *** * *  *   *  *  **  * 
** ***  ***    *** ******** 
 * ***     ***   **  *   
********   **  *   *  *     * **       ** ***   *     *   * *   ** ** of %.2fx^2 + %.2fx + %.2f = 0 are complex and *** *   **  **   **
  *   *  * **  * * ** ** *    * *   * **   **  * ***  **** ** *    =   ***  *** ****** **    * * *   *
  ** ***    * ***   * * *  **     *  **  *** ***   ** *** ** **** *       =      * ** ***  *  ** ***   **** *
     *****        ****     **  **
  *** *    *  *** *   * * *  0;
}
answered by (-498 points)
0 0
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
#include <stdio.h>
#include <stdlib.h>
#include <math.h>

int main()
{
**  * *  ** *  * ***  ** *    ** a,b,c,d,x1,x2;
 **  * *  * ********* ** **  * * * ****  ** **  *  **  * * ****
**  **  * **** *     * *   ***
* **  * *  ** **   ***  * * * = (-b + sqrt(d))/(2*a);
***    *   *** **  * *  ***    = (-b - sqrt(d))/(2*a);
 ** **    *     * **  * * * **    
 * ***     ****  **   * *  * *** *  * * **  **  * * ****  **  *       * of %.2fx^2 + %.2fx + %.2f = 0 are real and different\n",a,b,c);
 ***** ** **   *  * ***  *    ***   **** *   **** * *   *  *** *** * **  ****      ***  * ** ***    *  *    * * *** ***      ***  *    **  * ** *  **********  * * * * *  * **   *   *     *      * ***   ****   *  * **      *     * * ** * **** = %.2f\n",x1);
  * ****** *  *******  ** ***    *  ** ***   *    * **    *  * *    **  *  * *****        ** * * *** *  *** * *    *   *** *   *  * ***** ***** *  ** ***** *   **    ** * *** *    ****** ****  *** *    * **  * * *   * ** * *** * * = %.2f",x2);}
*  *** **** * ***    * * * **  *   if(d==0)
**    ** *  *   * *   ** *     **  *   *    * **
 * **** **** * *   *      **   ***  *  *****       *   ** *   ** ** *** * ** *  *    *** *  * *** of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
 ** **** * * *    ** **      **  ** **  **  * ** ** **   * *   **** **  **  * *  *  * * *** **     *    * ***** *    *  ***   **  ***   *** ***    *  *  * = x2 = %.2f",x1);}
     *** * **  **  * *  *** 
   ** *  *****   * **   *******      * * * *  * *  *  * *   ** ** * *    of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
** ** **** * **  **  ******  * **   *  * ****    *** *  ** *** ***** * =       **  *****   **     *  *  *
   *  *   *** * *  ***  *** *  *     ** **  *  *** ** * **  = * ****    ** **  * * ***  * **
*   *  *  * *  **   ****    *  **** 0;
}
answered by (-108 points)
0 0
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
#include * **** ** * *  
#include *  **** ******  

int main()

{
 **** **  * *  *   *   ** **   *  ******  *  
****  ** ***      *****  *  ***   %f   *        *  * *** * * 

* ** **  *** * **   * ***  ****   *  
***   ***** **   **** *  * *  *** + sqrt(D))/(2*a);
** *      ** * ** * **  *  *  *  - * ***  * * *
**      * ** *** *  ***  ***    **   * * 
* * * * ** **     * * *   ***  **  ***** 

*  *    *  *  * ***  * * *** ** (D==0)
 ** ***     *****  *  **  ** ***
** * ** * *  *     * * *** ** * **     *    *   * *** ****     * * * *  *** *   of %.2fx^2 + %.2fx + %.2f = 0 are real and same\nx1 = x2 = * * *  * *****   
 *   * * * *** * *  ***
**** *   *  *** *** * * * *  if (D>0)
  * * **  * *** *  ***** *** *
**        * **   *** *  *  *** * ** * * ***  **** ***   ** ***  ****    of %.2fx^2 + %.2fx + %.2f = 0 are real and different\nx1 = %.2f\nx2 = *   **  ** ** *   * * 
* * *   **** ** *  **  * 
* ** **** *    **  ** *    
 * * ** *** *     * **** * *  
****   ** *     *  *   * *      **    ***  ******** **  **  ** ***  *   of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\nx1 = %.2f+%.2fi\nx2 = *    *  * * *  *  *     **   ** * * 
*  ****** ****** * ** * ** 

    *  *   * **  * * **** ******** 0;

}
answered by (-249 points)
0 0
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
#include  ***** *   **** *
#include ***   *** *  *  
int main(void)
{
float a,b,c, D, x1, x2,i;
* *** * ** * * ***  ** * * * *   * ** %f         &a, &b, &c);
   ** *    **       *  **     *    ** *
** * *  ** * *     ***  ****  (D>0)
***  * ** *   ***  *** *  **
   *  **   * * ** **** * * **  *  ***   ** ****  *******  ** *  ******  
 *  *** **   ****** *** ** **  *****  **  * **  ****   * * ****  * ***

 ***   *** ****   *  *  ** *   ******    *** *  *    * **** **** * * *  *  ****  *  *   of %.2fx^2 + %.2fx + %.2f = 0 are real and   *    * = %.2f\nx2 =  **  ***** *  **
  * *  **  **  *** **   
*      ** *****  **  ***     * if (D==0)
   ******** ** *****  *  **** 
*   **  *****    * ** *  * * ** ** ****    ** * * **  **   ***
*  * * ***    ** ** ***    *   ***    **** *    *  ** *  *****  ** ****  * of %.2fx^2 + %.2fx + %.2f = 0 are real and same\nx1 = x2 =  * **   *   ** *
 *****  **  *** **     *        
 * **** **  * *  * ** * **  *  
 *  *********   *** * **
*** *  * * **  **** *   * **  *  *   x1=x2 = -b/(2*a);
*    *   * ** * ******   * *** *    **  ***          ** ** * *  
***  *****   ***  *** ******* *    * * *    * *** ** *** * **   * of %.2fx^2 + %.2fx + %.2f = 0 are complex and  ** **** = ** ***    * =    ****** ** ** * **   x2,i);
*  ******* *  **** *    *



 ** ***  **     *  * *    * *  0;
}
answered by (-304 points)
edited by
0 0
prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
commented by (4.3k points)
0 0
prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
0 like 0 dislike 
Hidden content!
#include     ** ***     
#include   *****    *

int main()
{
   * * ** * ***** ***   * **   a, b, c, ***   x1,x2, realPart,  ** ** * 


   **  *  * *  ** *    * *  ** *******  ** %lf  * *  *  **  *   &b, &c);


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

   *  * *       * * ** *  ***  condition for real and different roots


 ** *  *  ** * * ***    * **   * for real and equal roots
 * ***   ** * ** *** * ** * ** ** * *  *  (determinant == 0)
   **     * **  *    * *  **
*****  *      *  *  ** *  ***  ***    *    ****  * * ***   = x2 = -b/(2*a);
** * ** ***** * * *   ****  *   *   ** **   * ** * ***   ** * * *  * of %.2fx^2 + %.2fx + %.2f = 0 are real and **    * **  a,b,c);
* ** *   *   **  *  * ** **     ****** **    * *  *   *  *  ***  = x2 =  * **     ** x1);
**** * * ******* *  *  *  **

    *** *******    ***   **** ***  * if (determinant > 0)
  *   * ** **     ***   
**  *    ******    * ***  **    sqrt() function returns square root
**  *   ***** *  * *  **** **  **  ***** ****     =  * *    *    ********
* *  *************** *** *****  **    *   * * ** * = *  **  **   *  * *  **  

 **   ** * ***** **  *   ***    ** *     *   *  * * *   *        * *   ** of %.2fx^2 + %.2fx + %.2f = 0 are real and  ****      *  ** 
*      ** * *  * * *       ** *  *     ***  *      * *    **  =  *   *  * ** * x1);
* ** *  ***      * **  *** * **   *    *      * * ***  * =   *    ****   x2);
**  *** *  ******    **    if roots are not real
   *  ***  * ****   * **     **
* **  * **  *   * *** *  **
* *  *            * *  * **    * *    ** **   *   *** *  = -b/(2*a);
   * ***  ****** *** *** * ** *   * *** ** ** **     *****   *    =   **  ** **   
* * *    ***  * ***  * * ** ******  ** *  *  **    *    *** * **  *  *  of %.2fx^2 + %.2fx + %.2f = 0 are complex and  *  ***   * *   a,b,c);
* ******   ** **** **  *** * *   *    ***  ***  * **   *  ***     *  * * =  *   * *  *** * realPart,  **   *  *
*** * **    *** *  **   ** * * ***   *   *   ** **    **   * ** ** =  **     ** ** realPart,   * **  
    *  *   *   *     ** ** **

* *  *   * * *     **** *  * 0;
}
answered by (-167 points)
0 0
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
Page:
Welcome to Peer-Interaction Programming Learning System (PIPLS) LTLab, National DongHwa University
English 中文 Tiếng Việt
IP:172.69.6.49
©2016-2024

No related questions found

12,783 questions
183,443 answers
172,219 comments
4,824 users