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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#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)
{
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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)
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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