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

int main(void)
{
** *** * *  *       * *** * *  * *  a, b, c, D, spD, x1, x2;
    
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*        *  *  **        *  *** *   *     ** ** ** ** ** *
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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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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 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 2: Correct output
Case 3: Correct output
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#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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