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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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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}
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#include ****   * *** **
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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
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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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