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>
int main()
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#include <stdio.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 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
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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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