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>
#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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#include <stdio.h>
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}
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#include * *  * **   ** 
#include **   ** *   
int main(void)
{
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}
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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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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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