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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Hidden content!
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#include <stdio.h>
#include <stdlib.h>

int main()

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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>
int main()
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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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
Case 3: Correct output
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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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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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