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>
#include <stdlib.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 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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