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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Hidden content!
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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>
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#include  * *  * *  * * **
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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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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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