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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Hidden content!
#include <stdio.h>
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Hidden content!
#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>
#include <stdlib.h>
#include <math.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'
commented by (4.3k points)
0 0
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
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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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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