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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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>
int main()
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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
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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