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#| BEGIN (Write your solution here) |#
(define (square x) (* x x))
(define (square-root x)
(sqrt-iter 1.0 x))
(define (sqrt-iter guess x)
(if (good-enough? guess (improve guess x))
guess
(sqrt-iter (improve guess x) x)))
(define (improve guess x)
(average guess (/ x guess)))
(define (average x y)
(/ (+ x y) 2))
(define (good-enough? guess next-guess)
(< (/ (abs (- next-guess guess)) guess) 0.0000000000001))
#| END |#
#| BEGIN (Write your solution here) |#
(define (square x) (* x x))
(define (square-root x)
(sqrt-iter 1.0 x))
(define (sqrt-iter guess x)
(if (good-enough? guess x)
guess
(sqrt-iter (improve guess x) x)))
(define (improve guess x)
(average guess (/ x guess)))
(define (average x y)
(/ (+ x y) 2))
(define (good-enough? guess x)
(< (abs (- (square guess) x))
(* 0.0000001 guess)))
#| END |#
#| BEGIN (Write your solution here) |#
(define (square x) (* x x))
(define (square-root x)
(sqrt-iter 1.0 x))
(define (sqrt-iter guess x)
(if (good-enough? guess (improve guess x))
guess
(sqrt-iter (improve guess x) x)))
(define (improve guess x)
(average guess (/ x guess)))
(define (average x y)
(/ (+ x y) 2))
(define (good-enough? guess next-guess)
(< (/ (abs (- next-guess guess)) guess) 0.0000000000001))
#| END |#
#| BEGIN (Write your solution here) |#
(define (square x) (* x x))
(define (square-root x)
(sqrt-iter 1.0 x))
(define (sqrt-iter guess x)
(if (good-enough? guess x)
guess
(sqrt-iter (improve guess x) x)))
(define (improve guess x)
(average guess (/ x guess)))
(define (average x y)
(/ (+ x y) 2))
(define (good-enough? guess x)
(< (abs (- (square guess) x))
(* 0.0000001 guess)))
#| END |#