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>

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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>
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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 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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