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>
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#include <stdio.h>
#include <stdlib.h>
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#include  * ** * **** *
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int main()

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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
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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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