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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Hidden content!
#include <stdio.h>
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Hidden content!
#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>
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#include <stdio.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'
commented by (4.3k points)
0 0
Case 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: 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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