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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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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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
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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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