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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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 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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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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