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>
int main()
{
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}
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#include <stdio.h>
#include <stdlib.h>
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}
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#include ** ** **  *** 
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}
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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
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 1: 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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