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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Hidden content!
#include <stdio.h>
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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 <stdio.h>
#include <stdlib.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
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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
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Case 0: Correct output
Case 1: 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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