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!
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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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Hidden content!
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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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Hidden content!
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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  **  *** ***  ***
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int main(void)
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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 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong 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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