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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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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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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