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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#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>
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}
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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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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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