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>

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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Hidden content!
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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>

int main()
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}
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#include ** * **** *** 
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#include     * * **  **
#include *** *** **** 
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: 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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Case 0: Correct output
Case 1: Correct output
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Case 0: Correct output
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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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