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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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>
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#include <stdio.h>
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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
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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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Case 0: Correct output
Case 1: 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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