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