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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We will continue this question in few days
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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>
#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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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>
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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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Case 0: 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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