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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Hidden content!
#include <stdio.h>
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#include <stdio.h>
#include <stdlib.h>

int main()

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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>
#include <stdlib.h>
#include <math.h>

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#include  *    * *       ** 
#include         * **   * 
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'
commented by (4.3k points)
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Case 0: Correct output
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 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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Case 3: Correct output
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Case 0: Correct output
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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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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