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

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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
Case 2: 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 1: Correct output
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Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
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Case 3: 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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