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>
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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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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 3: 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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