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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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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Hidden content!
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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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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
commented by (4.3k points)
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Case 1: Correct output
Case 2: 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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