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>
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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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}
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int main()

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#include      ** ** ** 
#include * *   ** *  ** 
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
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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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