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>
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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>
#include <math.h>

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#include  **  **    ** *
#include   **  * ** *  

int main()

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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
Case 3: Correct output
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Case 0: 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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