#| BEGIN (Write your solution here) |#
(define (cube-root x)
  (cube-root-iter 1.0 x))

(define (cube-root-iter guess x)
  (define newGuess (improve guess x))
  (if (< (abs (- guess newGuess)) 0.0001)
      newGuess
      (cube-root-iter newGuess x)))

(define (improve guess x)
  (/ (+ (/ x (* guess guess)) (* 2 guess)) 3))
#| END |#