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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#include<stdio.h>
#include<stdlib.h>
#include<math.h>

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#include<stdlib.h>
#include<math.h>

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

int main(void)
{
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**** *  * **** ***    * ****      **** *  ******** * ***   ******  *   * *** *   (x1==x2){
*   *  *  *  **** **  * * *  * **** ** *** *  *   *  ***** **  * ***   * *** *       * ** ** **  * ****** **    *****    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 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)
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-----------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)
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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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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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