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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We will continue this question in few days
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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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#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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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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}
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}
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#include ** *   **  * ** **
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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'
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Case 1: Wrong output
Case 2: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct 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
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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Case 0: 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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