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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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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}
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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)
{
 **  *  ***  *  **   ***       a, b, c, D, spD, x1, x2;
    
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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)
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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