Package Newtons method for approximating square roots (Case Study: Approximating Square Roots) in a function named newton. This function expects the input number as an argument and returns the estimate of its square root. The script should also include a main function that allows the user to compute square roots of inputs until she presses the enter/return key

An example of the program input and output is shown below:

Enter a positive number or enter/return to quit: 2 The program's estimate is 1.4142135623746899 Python's estimate is 1.4142135623730951 Enter a positive number or enter/return to quit: 4 The program's estimate is 2.0000000929222947 Python's estimate is 2.0 Enter a positive number or enter/return to quit: 9 The program's estimate is 3.000000001396984 Python's estimate is 3.0 Enter a positive number or enter/return to quit 

Current Code:

import math

def newton(n): # Initialize the tolerance and estimate tolerance = 0.00000001 estimate = 1.0

# Perform the successive approximations while True: estimate = (estimate + n / estimate) / 2 difference = abs(n - estimate ** 2) if difference

return estimate

def main(): while True: # loop until user presses enter number = input("Enter a positive number or press Enter to exit ") if number == '': # input is enter python return '' break number = float(number) estimate = newton(number)

# Output the result print("The program's estimate is", estimate) print("Python's estimate is ", math.sqrt(number))

if __name__ == '__main__': main()

Error i get:

Program produces correct output given input' 1 out of 2 checks passed. Review the results below for more details. Checks Test CaseComplete 1 Test of program Custom Test Incomplete 2 test of module Test Output Traceback (most recent call last): File "codevolve-test-b653d26c", line 4, in module> assert(newton.newton(32)5.656854250817683) AssertionError Test Contents import newton assert(newton.newton(49)7.000000000000002) assert(newton.newton (32)5.656854250817683) assert(newton . newton(5) = 0.7071067811873449)