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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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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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
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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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