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>
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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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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>
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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: 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 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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Case 1: Correct output
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Case 3: 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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Case 3: Correct output
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