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>
#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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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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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: 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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