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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Hidden content!
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Hidden content!
#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>
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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'
commented by (4.3k points)
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Case 0: Correct output
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
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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