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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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>
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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
Case 3: 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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