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>
int main()
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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
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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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