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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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>
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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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commented by (4.3k points)
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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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