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  * * **  ***  *
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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
Case 3: Correct 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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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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