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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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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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}
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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
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 0: Correct output
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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Case 1: Correct output
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Case 0: 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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