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>
#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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Hidden content!
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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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}
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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'
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Case 1: Wrong output
Case 2: Wrong output
Case 3: 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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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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