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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#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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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)
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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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