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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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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#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: Wrong output
Case 2: Wrong output
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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 3: Correct output
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Case 0: Correct output
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Case 2: Correct output
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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