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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#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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#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: 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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