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