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