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>
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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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Hidden content!
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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 ******   *** 
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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
commented by (4.3k points)
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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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Case 3: Correct output
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Case 0: Correct output
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Case 3: 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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