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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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>
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#include    *    * *  * **
#include *  **  *   
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
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Case 1: Correct output
Case 2: Wrong 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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