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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}
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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)
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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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