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

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prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'
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}
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prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'
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prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
{
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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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#include **  ***   * *
#include     *  * * ** *  *

int main()

{
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}
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#include  ** ** *    * **
#include *    *** ***
int main(void)
{
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}
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prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'
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Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Hidden content!
#include ** ** * **   * 
#include * * ** **  * *

int main()
{
**  *    * * * * *  **** ** ** a, b, c, * ** x1,x2, realPart, * * ** **


*  * * * * *** ***** ****** **  ** **** *** %lf *** **  ** *** ** &b, &c);


*** *****  *  *  ** *    ****  ** *  = b*b-4*a*c;

 ** ***  *** **** *   * *   condition for real and different roots


  **   ** ** *******    * ** * **   for real and equal roots
* *   ** **** * *  ***   ****  (determinant == 0)
 ** * **    *** ******* *   
**** **  ****  *** ** ** *   ***  *  *        * ***    *   * = x2 = -b/(2*a);
** *   *  ** ***** *   **  **  *   ***   ******  **   *** **   *   *  **  *  * of %.2fx^2 + %.2fx + %.2f = 0 are real and  *** ** ** *  **  a,b,c);
 * **** *     * *   * *** * ** *    ***** *  **  ***   *** * * = x2 = *   **  *  x1);
  *   ***   *  * *** * *** *  *   

  * *  ***   **  ** **        ** *  **** if (determinant > 0)
*    ** **** * **    *       *
*  *  * ****  ****** * *       sqrt() function returns square root
***    **  **  *   **  * * *** ** ** * * *    *** * * * ** * =   ***  *  *****  **  *   
 * * ****** ** ** **** **    ** **    ** **  **  =  ** *   * * *   *** 

 * **  * *    *  **   ** ***   ** **  **   * *  *****  **        of %.2fx^2 + %.2fx + %.2f = 0 are real and ** *  *  ***  **   
   ****     ** **  *  *    *  ** ***** * ** * **  *   *  ** *** *  = * * * * * * x1);
 ***     **  ** *** **** *    * *   ** * *    ** ** ** *  *** ** * = *** ** ***  x2);
 ** ******    * *   ***  *** **** if roots are not real
* *  ** * *  **  * ****  ****
      **** *     **     **** 
  *   **  **   * ***  **    *** **    *  * *  *   **** ****** **  = -b/(2*a);
*  * ** *   ** * *  ***** ***      *    **** *** **** ******   = *** * ***    
* ** **    ***   **  *   * *          ***  ** *** ** ** **  of %.2fx^2 + %.2fx + %.2f = 0 are complex and **** ***   * a,b,c);
 *   *   * * * *  ****** * *** * *** * *  * ******    * * *    =   ** ** **  *  *   realPart, * ***   *
* **  * * *** *** * **  ******  * ** *    *      ****** **  * =  ** * ** *** *  realPart, **  **  
** **    *    * **    * *  * 

** *   ***   *  * ** *  **   0;
}
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