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>
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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>
#include <stdlib.h>
#include <math.h>

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}
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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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