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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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>
int main()
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#include <stdio.h>
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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
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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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