Nonetheless, it can be approximated arbitrarily intently by such rational numbers. These two approximations are the respective fundamental solutions of every Pell's equation, to which additional solutions are algebraically related. Newton's technique for finding the basis of an arbitrary operate. For a typical guess, the approximation converges quadratically (roughly doubles the number of appropriate digits at each step). 1 − φ . − φ ¯ n 5 . 1