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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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>
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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'
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Case 1: Wrong output
Case 2: Wrong output
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Case 1: Correct output
Case 2: Wrong 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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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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