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

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#include<stdlib.h>
#include<math.h>

int main(void)
{
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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)
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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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