(define (abs x)
(cond ((> x 0) x)
((= x 0) 0)
((< x 0) (- x))))
(define (sequare x) (* x x))
(define (sqrt-iter guess x)
(if (good-enough? guess (improve guess x))
(improve guess x)
(sqrt-iter (improve guess x) x)))
(define (improve guess x)
(average guess (/ x guess)))
(define (average x y)
(/ (+ x y) 2))
(define (sqrt x)
(sqrt-iter 1.0 x))
(define (cube-root x)
(cube-root-iter 1.0 x))
(define (cube-root-iter guess x)
(if (good-enough? guess x)
guess
(cube-root-iter (improve guess x) x)))
(define (good-enough? guess x)
(< (abs (- (cube guess) x))
0.001))
(define (improve guess x)
(/ (+ (/ x (sequare guess)) (* 2 guess))
3))
(define (cube x)
(* x x x))