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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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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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 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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Case 0: Correct output
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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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Case 3: Correct output
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