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"""Newton's Method."""

# Newton's Method - https://en.wikipedia.org/wiki/Newton%27s_method

# function is the f(x) and function1 is the f'(x)

def newton(function, function1, startingInt):

x_n = startingInt

while True:

x_n1 = x_n - function(x_n) / function1(x_n)

if abs(x_n - x_n1) < 10 ** -5:

return x_n1

x_n = x_n1

def f(x):

return (x ** 3) - (2 * x) - 5

def f1(x):

return 3 * (x ** 2) - 2

if __name__ == "__main__":

print(newton(f, f1, 3))

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