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!
#include <stdio.h>
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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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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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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>
int main()
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#include <stdio.h>
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#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: 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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