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!
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Hidden content!
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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>
int main()
{
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#include <stdio.h>
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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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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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