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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We will continue this question in few days
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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>
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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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#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
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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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