Question
Java question. The following method was known to the ancient Greeks for computing square roots. Given a value x > 0, and a guess g
Java question. The following method was known to the ancient Greeks for computing square roots. Given a value x > 0, and a guess g for the square root, a better guess is (g + x/g)/2. Write a recursive helper method public static squareRootGuess(double x, double g). If g2 is approximately equal to x (that is, less than .0001 difference between x and g), return g, otherwise, return squareRootGuess with the better guess. Then write a method public static squareRoot(double x) that uses the helper method I wrote the program but I got an error and not sure how to fix it. The error is at line return squareRootGuess(x,g);
import java.util.Scanner;
/**
Greek's method to approximate the square root of a given number.
*/
public class SquareRootComputer
{
public static void main(String[] args)
{
Scanner in = new Scanner(System.in);
System.out.print("Enter a number: ");
double x = in.nextDouble();
System.out.println(" The square root is " + squareRoot(x));
}
/**
computes the square root of the specify number
@param x a non-negative integer
@return the square root of the specify number
*/
public static double squareRoot(double x)
{
// Complete this helper method
return squareRootGuess(x,g); //error here
}
/**
Uses the Greek's method to approximate the square toot of a
given number.
@param x a non-negative integer
@param g a guess
*/
private static double squareRootGuess(double x, double g)
{
//Complete this recursive method
final double value = 0.001;
if (Math.abs(x-(g*g)) < value)
{
return g;
}
else
g = (g + x/g)/2;
g = Math.round(g*100.00)/100.00;
return squareRootGuess(x,g);
}
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started