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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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>
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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
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Case 0: Correct output
Case 1: 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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