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>
int main()
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}
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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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