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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#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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