import math


def intersection(function, x0, x1):
    """
    function is the f we want to find its root
    x0 and x1 are two random starting points
    """
    x_n = x0
    x_n1 = x1
    while True:
        x_n2 = x_n1 - (
            function(x_n1) / ((function(x_n1) - function(x_n)) / (x_n1 - x_n))
        )
        if abs(x_n2 - x_n1) < 10 ** -5:
            return x_n2
        x_n = x_n1
        x_n1 = x_n2


def f(x):
    return math.pow(x, 3) - (2 * x) - 5


if __name__ == "__main__":
    print(intersection(f, 3, 3.5))