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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#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>
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#include <stdio.h>
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#include   *  * * **   *
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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
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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
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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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