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>
#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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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>
#include <stdlib.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'
commented by (4.3k points)
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Case 0: Correct output
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 1: 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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