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>
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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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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}
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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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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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