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!
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#include <stdio.h>
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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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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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Hidden content!
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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
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong 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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