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>
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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
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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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