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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#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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Hidden content!
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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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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'
commented by (4.3k points)
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Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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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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