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>
#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>
int main()
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#include <stdio.h>
#include <stdlib.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 1: Wrong output
Case 2: Wrong output
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Case 1: Correct output
Case 2: Wrong 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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