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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#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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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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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}
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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
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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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Case 3: 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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