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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Hidden content!
#include <stdio.h>
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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>
int main()
{
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#include <stdio.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 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output
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Case 0: Correct output
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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