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 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
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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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