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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Hidden content!
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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>
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#include <stdio.h>
#include <stdlib.h>
#include <math.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 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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