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>
#include <stdlib.h>

int main()

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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>
int main()
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#include <stdio.h>
#include <stdlib.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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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 0: Correct output
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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