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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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: Wrong output
Case 2: Wrong output
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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
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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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