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>
int main()
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#include <stdio.h>
#include <stdlib.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
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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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