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>
#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>
int main()
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}
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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: Correct output
Case 2: Wrong output
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Case 0: 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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