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>
int main()
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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
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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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