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ABSOLUTE C++

Absolute C++

Authors:
Walter Savitch ,kenrick Mock
Exercise:
Programming Projects
Chapter:
C++ Basics
Edition:
5
ISBN:
9780132846813
Question:
8

 

Question

The Babylonian algorithm to compute the square root of a positive number n is as follows:

1. Make a guess at the answer (you can pick n/2 as your initial guess).

2. Compute r = n / guess.

3. Set guess = (guess + r) / 2.

4. Go back to step 2 for as many iterations as necessary. The more steps 2 and

3 are repeated, the closer guess will become to the square root of n .

Write a program that inputs a double for n , iterates through the Babylonian

algorithm five times, and outputs the answer as a double to two decimal places. Your answer will be most accurate for small values of n.


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