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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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>
#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
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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