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>
#include <stdlib.h>
#include <math.h>

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}
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}
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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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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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