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>
#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>
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}
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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
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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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