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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Hidden content!
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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>
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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
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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