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>
int main()
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#include <stdio.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
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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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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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