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

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}
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#include ****  *  *  * 
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#include   *  ****   ***  *
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int main(void)
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}
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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 2: Wrong output
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Case 1: Correct output
Case 2: Wrong 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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