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>
#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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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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Hidden content!
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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  * *** ****
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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 3: 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
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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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