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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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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}
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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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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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