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!
#include <stdio.h>
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#include <stdio.h>
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#include <stdio.h>
#include <stdlib.h>

int main()

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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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}
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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
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 0: Correct output
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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