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