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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Hidden content!
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#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
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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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#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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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)
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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