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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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>
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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
Case 3: 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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