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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#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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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>
#include <stdlib.h>
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#include ****    *   **
#include **   *** * ** 
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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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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