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>
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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
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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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