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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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     *     *   
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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
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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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