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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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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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 0: Correct output
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Case 3: 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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Case 0: Correct output
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