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>
#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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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'
commented by (4.3k points)
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Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 1: Correct 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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