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
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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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