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>

int main()

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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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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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}
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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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