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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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>
int main()
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#include <stdio.h>
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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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Case 0: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 1: Correct output
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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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