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>
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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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#include <stdio.h>
#include <stdlib.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
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Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong 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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