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