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

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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
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We will continue this question in few days
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Everything is fixed. Enjoy your time with The Judge :)
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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
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Your code has newline at the end sometime. You learned this lesson many times!
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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.
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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
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prog.c: In function 'main':
prog.c:9:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1 = (-b + sqrt(D))/(2*a);
                ^~~~
prog.c:9:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:9:16: note: include '<math.h>' or provide a declaration of 'sqrt'
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Hidden content!
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Hidden content!
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Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
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}
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#include<stdlib.h>
#include<math.h>

int main(void)
{
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}
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prog.c: In function 'main':
prog.c:8:11: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     while(scanf("%lf %lf %lf", &a, &b ,&c)==3)
           ^~~~~
prog.c:8:11: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:8:11: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:18:17: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
                 ^~~~~~
prog.c:18:17: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:18:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:21:17: warning: incompatible implicit declaration of built-in function 'printf'
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
                 ^~~~~~
prog.c:21:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:29:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:29:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:34:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:34:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:41:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
             ^~~~~~
prog.c:41:13: note: include '<stdio.h>' or provide a declaration of 'printf'
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Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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*   *    *    *     * *** **  *  ***** *  *  *  ***   *  * *******     *****
  * * * *   *********** ***** * * **  *    *  * ** **    *** **** * ** *   *  **  * *      {
*  *   *  * *  *   ** ***  ** ***  *      *  *** * **  ***** *  ****  ***** *     * ****** **  **     * * **   ***  ***  *   *  * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,x1,x2);
*  ** *   * *** ****** *  *   *** **  *  *  ** **       * *  * **  * **  *   *** 
*  * * * *  ** **    ******   ** ** **** * ***  * *
  ** *           * * *** *  ***  **  ** ****  ** *  ** * if(D==0)
** * ** ** * **  *****  *     ** *  * *  ** ** **   *** * *  
 ****  ** ***     *  **   ** **  **  ****  **   * **   ** * ** **** *  **  *    (-b)/(2*a);
***** ***** ***  ** ******* ***  * ** *  *  * * ****** *    **  *** ******    *    * 
 ***   * *** **   **  * **    **** *** ***** *   **   *  ***    * * **
  ** ** *  **  ***  ****  * *    *  *  * *  ** * * *  *  ** *   **  * * *   **  * * * ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
****   *   ** ****    ** ****    *    ** *   * * ** *** *  ********
   * *    *  *     **        **  *     ** *  * *  * ****  ** * *  * *** *** 
  **** * * ****  * * *****  * ** **  * * **  *  ***   * * *** ** *** ** *    ***
   *    ******** ***    *   * **  **    *  * *    *****     *  ** ***  *       ***
  * * *    **   **   *    ******    *  **** ********** ** **  ** *****    * *** **  * **    ** ** **   of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
  * **   * ****** * *** * **    * *  * * *  **   *      *  *** **  * *  **  *** * 
******  *   ** *** *   * *    *       **  *    **  
**  * **   * *   ** * *  *   *    *  *  * **    **  if(D<0)
** ** * *  **  * *    ***** *** *     *    ** ** *  *****      
** ***  * ***   ***     ** *  ***  ** * **  ** *  ** ****      * ****      * (-b)/(2*a);
** * **  *    ******  ** * **** ** **   ***  *****   **  * *     ***  ** ***  *  ***** * -x1;
* ** * **          ****  ** *****  *** ***   ***   *   ** * *    * ** ******  ***** of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
  * **  ** *******  **   * **    **  * ** * *  *  *** 
    *** *** *     ***** *** * * 
    
 *   *** * * *  **  **  * * *  *** *  * ** * * **  
 *   *     *   ******  *       *  0;
}
answered by (-249 points)
0 0
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output
commented by (4.3k points)
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Hidden content!
 ***         * * ***
  *  *  *  * **** ** * * 
** **   *   * *  **
int    **
***  **       *** *  ** *** * **   a, b, c, D, spD, x1, x2;
*   * ** * **********  *   * *
* * ***        *    **   ** ***   *  *    * %lf **  *   * *  ** &b ***** *  *  
 ***  *    {
    *      *  *   *  ***   *  *** *   **    *  *    * *   *** - (4*a*c);
***    *** **    **       ****  *  **** **** 
 ***            ***    *
*** *        {
* * **      **  ***   * * * * **  * ** * *** *   ***  *   **** ****
***   *  ** ******* *  *   *  **       ** ***  ** ** *****   x1= ** * *** 
     * ** *** ** * **** *** **  * *** ** ** *     **     **** * *   x2= *** ** ***  **
 *  *******  * ** **  ** * *  ****      *    *  *********** **     if (x1==x2){
* *   ***** ****  *  * * * * ******** * *    *****  ****       * ***  * * * * ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = ***   * * ** * *****
      ***  * ***        ******  ** * ** ** *  ** * *    **  *  * *  **    *  ****  *   * 
 *  *  ***  ** ****     **   *   ***    ** *** **   * *   **** *    else {
* * *** *   ** * ** **      **  ***  * * * *    **  ***   *  ** * ** * *  *  *      *  *      * ** ****     of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and  * *   * ** = %.2lf\nx2 = *  ** * **  * *    
   *       *     ** *    ** * *  *** * ***** **  *   *  * * ***     *** **  }
   * ***      *  *   ** ** *   ** **  *  *** ** * ***  
  * * *** *    *    ****    ********   *  ** *    **  * *       if(D==0)
  *****   ****  * ****   {
 * *****  **    *  ***  ***  *  *   ** *****           * ***** *** * **  ***   **   *
 **    * * * * **** **   ***  *  ** *  * **  *  *** *   * *   **   *****    *    * ***
 *  *  *        **       {
 * ***     * **   **** **  ****  * ** * * *** *** **     *** * **   **  *  *   *   **  ***  * * * *     of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =     ***  ** ** **
 * ***   ***  ** * ****  **** * * *   **  *  ***** * * **   *   * **     *  ** *** ** ** ** * 
* *    * *  ***   **   * *  * ** ** *   * *** * ** ** ****  * **   ** *  *** * * *    
*  *    *  **  *********** *  **   * ** * *    *          ***  ***   ** * *    * ***  ***
  ****            {
   * *  **  ** ***  ** * **** *      ***  *    ** **  ***   **  *    ** * *   ** ** ** ***** **  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =    **** **  *  **     
  * * *  * *   *    ** *** * **  * ***     * **  ****** *  * *  * **     * *  
*  *  ****      *      ***  * * * * * *      *    **
* * **  *   ***    * *    * *  *  *  * *   **  * *****  *    ** ****
****         *  *    
            x1= **  *  *
 * * ****       *      * *** * **  x2= -x1;
  ** ** *   *    ****** *  * *** *** **      ** *  ***   ****  ** * **** *** **   ***   of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and *   *   **  =  * *** *     =  ***  * ** * ********  * *  
 ****    *    ** * ***    **  *   ** *** ** ***  **   * *
***  * **  ** * **   **    **  **
 ***  *     *  * ***  ***
*** * ***  ***  * ******* * *** *  * *  ***   *
*     *** *** *    *  * *  0;
}
answered by (-249 points)
0 0
/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output
commented by (4.3k points)
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Hidden content!
 *    *********    *****
 *   *  **  ** ** **  *  
int main(){
  ***      **  ***  *** * * a,b,c;
 * * ** *         *   **  * * D;
  *   *  **   * *  * *       **      %lf **  **** * * * **      *
 * *    * ***  *** ***** * ** **** - 4*a*c ;

 ** **   **  * *** *   ***    *  *  of %.2fx^2 + %.2fx + %.2f = 0 *    *   *

*  ***    *      * *   ******     *
  *  *   ***   *          **   * ***** *** ******  * *      *  complex and      *      ** 
  *  *        * ***      *              ***  ** ** * ***  * **    = ** ** **  ** ** (-b) / (2*a) ), sqrt(-D) / (2*a) );
  * * *  **  *  *****  * **  *   * * *  * **   **  **** *  * * = ***   *  **  * (-b) / (2*a) ), sqrt(-D) / (2*a) );
  *****  * ** **   *  **** **
 **   *  ***  * * ** *** ** *  if(D==0){
*   * ****  ** **     * * **** ** *  ******  * **    *** * * * real and same\n");
  * **   *    * * * *   **** *** ** ** *  *******  * * *   * * = x2 = %.2f",( (-b) / (2*a) ) );
 *  *** *    *** ********* ** * 
*  **  **** ** * *** ***** ***  ** *    *
***   * ******    *  *       *  * **  ** *  * **  **  * * * ** *  *  real and *  **** * ** 
 *      * **  **  *  *   **   * ***  *  * ** ** * ** *** * * ** **   *****   = %.2f\n",( ((-b) + sqrt(D)) / (2*a) ) );
    *     *   * ** **** * *** * * **** *  ***** * **  *** ** * = %.2f", ( ((-b) - sqrt(D)) / (2*a) ) );
*   *  * *  **  **  **     *

 ***   *     *  ****  **   ** ** 0;
}
answered by (-116 points)
0 0
/tmp/cc8OPUJA.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
/tmp/ccLeUfQ5.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
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Hidden content!
#include    ***** **  
#include <math.h>
int main()
{
** *** ****  ***  *   *   * * a,b,c,x,y,d;
 **    * **** ***    * *  ** *    **** %f * *    **   ***  ** ** ** **  * 
* ****    **  * ** ******* * *****
*   * ****  * * *  ***  *   *** * **  
 **      * *       *** **    *   * * ******
*** ** **    **  * *  *** *  (d>0){
****   * *  * **   **  *  **   **    *   of %.2fx^2 + %.2fx + %.2f = 0 are real and **   * *   **  **
**     *  *  ** **   *   *  **     **    = %.2f\nx2 = %.2f",x,y);
   * ***  *   * **    * **  ***
***   *  *    *     * ***      if (d==0){
****  *** **  ***   *******  *  ***** *   of %.2fx^2 + %.2fx + %.2f = 0 are real and   * * **   * ****
   * ** *** **  * *  * * *   ** **     **  ** = x2 = %.2f",x);
  *      ** ****   *    * 
  *** *   *  ***  ** **  *****
 ****   *** *  *  ** ** ** *** 
*    **  * *** *  ****** * *  ****  * * * of %.2fx^2 + %.2fx + %.2f = 0 are complex and **   * *** * * **   *
 *       *  *    *     * **   * **   * 
**  * **   *  * *  *  * ** *  ******** * = *   * *    ***   * **
     * *** *** * **  * *    **  **          **   =  ***  **  * * * 
* *     **            *    

   *  ***** *   *** *** ** **   0;
}
answered by (54 points)
1 0
/tmp/ccheVQNV.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
/tmp/ccJPGNPl.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
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