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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#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
Case 3: Wrong output
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Case 1: Correct output
Case 2: Wrong output
Case 3: Correct 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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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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Case 3: Correct output
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Case 0: Correct output
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Case 3: Correct output
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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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