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

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

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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
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Case 1: Correct output
Case 2: Wrong output
Case 3: 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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