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   * ***       * 
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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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