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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}
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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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}
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#include <stdio.h>
#include <stdlib.h>
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}
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#include *** *    ** ** 
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int main(void)
{
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}
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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
commented by (4.3k points)
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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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