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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Hidden content!
#include <stdio.h>
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Hidden content!
#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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}
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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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****   * * *    **   * 
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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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

int main()
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}
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#include **     *** * 
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int main()

{
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}
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#include **  *    *   * *
#include **    * ***   *  *
int main(void)
{
float a,b,c, D, x1, x2,i;
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}
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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
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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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