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!
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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>
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#include <stdio.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
Case 2: Wrong output
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong output
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Case 0: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 1: Correct output
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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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