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!
#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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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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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
Case 3: Correct output
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Case 0: Correct output
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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