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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#include <stdio.h>
#include <stdlib.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
Case 1: 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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