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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#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
Case 2: Wrong 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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