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]
     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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}
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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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Hidden content!
#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;
    
 **   * *     ****  ** *******  * **********    * %lf %lf", &a, &b ,&c)==3)
    {
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*     **** ****  *     ****  * ***  ****    * *
*  *    * * *  *  *         *** ** * * * *  *   **** *   *  * * 
  ** * *  **** * ** *******  ** * *    ** * *   **  **
* *    * *  ** *  * ***    *  *  ***   * ** * * *  * ** * **  **      * * ** ***  *   *  
 ** * * * *** ** *  ** * *       **  **** ** ***** **   *   **  ***** * **  ** * *  (-b+spD)/(2*a);
** * * ***    ** **   * **  * *   *  ******  ** ****    *  ***   ****  * * *****  **  ***    * (-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)
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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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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