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>
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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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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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#include ***    *  * * * * ***
#include *****  * *  *
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 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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