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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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 0: Correct output
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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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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