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>
#include <stdlib.h>
#include <math.h>

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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: 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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