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