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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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'
commented by (4.3k points)
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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
Case 2: Wrong output
Case 3: Correct 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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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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