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>
#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 <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: 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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