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>
int main()
{
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#include <stdio.h>
#include <stdlib.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
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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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