How to make a c++ program (i'm using turbo c++) that would find the square root of a certain number?

how to make a c++ program (i'm using turbo c++) that would find the square root of a certain number by using newton's approximation method.

How to make a c++ program (i'm using turbo c++) that would find the square root of a certain number?
Do you understand Newton's approximation method for finding a square root?





Given a function f(x) where the solution of f(x)=0 has an initial approximation x*, you get a new (usually better) approximation by calculating:


x* - f(x*)/f'(x*)


where f'(x) is the derivative.





So you need a function where the solution of f(x)=0 is the square root of your number K. One such function is


f(x) = x^2 - K.





So your program should take an initial guess at the solution. You can use K itself as a guess. The method converges pretty quickly, so K is good enough.





Then you let variable x = your initial guess.


Keep repeating x = x - f(x)/f'(x) until you're satisfied.


Print out the final value of x.





There are a number of ways of being "satisfied".


One is testing the value of x to see how good an answer it is, e.g., testing if fabs(x^2 - k) %26lt; tolerance. Another is testing if the difference between the previous and current values of x is less than a tolerance.





Your C++ code will need to:





read in a number


set x to the initial guess


loop calculating the new value of x


until the termination condition is satisfied


print the final value of x
Reply:Shouldn't you be doing your own homework?
Reply:#include %26lt;math.h%26gt;





#define TOLERANCE 0.00000004





const double mysqrt(const double number) {


double guess = number;





while (fabs(guess * guess - number) %26gt;= TOLERANCE) {


guess -= (guess * guess - number) / (2 * guess);


}





return guess;


}
Reply:#include%26lt;iostream.h%26gt;


#include%26lt;conio.h%26gt;


#include%26lt;math.h%26gt;


void main()


{


double num,result;


cout%26lt;%26lt;"Enter The Number U Want to Found Square Root";


cin%26gt;%26gt;num;


result = sqrt(num);


cout%26lt;%26lt;"Square Root of"%26lt;%26lt;num%26lt;%26lt;"is:"%26lt;%26lt;result;


}
Reply:#include %26lt;iostream.h%26gt;


#include %26lt;math.h%26gt;





int main ()


{


double num, result;


num = 1024.0;


result = sqrt (num);


cout%26lt;%26lt;result;


return 0;


}