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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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>
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#include <stdio.h>
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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
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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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