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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#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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#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 0: Correct output
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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