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>
#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>
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}
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Hidden content!
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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 3: 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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