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>

int main()

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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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}
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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 ** *   * *  * *
#include ** *  * * * * * 

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}
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#include * * ** * **
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int main(void)
{
float a,b,c, D, x1, x2,i;
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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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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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