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

int main(void)
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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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#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)
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)
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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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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