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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#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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#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 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
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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