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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#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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#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 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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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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