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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#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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}
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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 <math.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
commented by (4.3k points)
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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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Case 3: Correct output
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