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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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>
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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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