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>

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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>
int main()
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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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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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