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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Hidden content!
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prog.c: In function 'main':
prog.c:9:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
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                ^~~~
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>

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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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Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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   *     *  ****** *      *   * **   *       ***  *  ** * **********    **** **   *  **  (-b-spD)/(2*a);
  ** * *   * **  * * * ** *      ****** * ****  ****   *  *  *   * *** *  * * * ** (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)
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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 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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