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>
#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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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
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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Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
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Case 3: 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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