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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Hidden content!
#include <stdio.h>
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Hidden content!
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Hidden content!
#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>
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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'
commented by (4.3k points)
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Case 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 1: Correct output
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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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