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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#include <stdio.h>
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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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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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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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}
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}
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#include ***   ***  *
#include   * *   * **   *
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 1: Wrong output
Case 2: Wrong output
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Case 1: Correct output
Case 2: Wrong output
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Case 1: 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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