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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}
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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>
#include <math.h>

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#include   * *** *    *
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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'
commented by (4.3k points)
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Case 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: 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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