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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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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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 1: 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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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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