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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#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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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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}
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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 3: 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
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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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