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>
#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>
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#include <stdio.h>
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}
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#include  ** *  *  ** 
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int main(void)
{
float a,b,c, D, x1, x2,i;
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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 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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