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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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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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
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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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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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