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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#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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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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}
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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
Case 2: Wrong output
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
Case 1: 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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