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#| BEGIN (Write your solution here) |#
(define (sqrt-iter guess x)
(let ((last_guess guess))
(if (good-enough? guess x last_guess)
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 last_guess)
(and (< (abs (- (sqr guess) x)) 0.001) (< (abs (- guess last_guess)) 0.001)))
(define (square-root x)
(sqrt-iter 1.0 x))
(square-root 2)
#| END |#
#| BEGIN (Write your solution here) |#
(define (sqrt-iter guess x)
(let ((last_guess guess))
(if (good-enough? guess x last_guess)
guess
(sqrt-iter (improve guess x) x))))
(define (improve guess x)
(average guess (/ x guess)))
(define (square x)
(* x x)
)
(define (average x y)
(/ (+ x y) 2))
(define (good-enough? guess x last_guess)
(and (< (abs (- (square guess) x)) 0.001) (< (abs (- guess last_guess)) 0.001)))
(define (square-root x)
(sqrt-iter 1.0 x))
(square-root 2)
#| END |#
#| BEGIN (Write your solution here) |#
(define (sqrt-iter guess x)
(let ((last_guess guess))
(if (good-enough? guess x last_guess)
guess
(sqrt-iter (improve guess x) x))))
(define (improve guess x)
(average guess (/ x guess)))
(define (square x)
(* x x)
)
(define (average x y)
(/ (+ x y) 2))
(define (good-enough? guess x last_guess)
(and (< (abs (- (square guess) x)) 0.0001) (< (abs (- guess last_guess)) 0.0001)))
(define (square-root x)
(sqrt-iter 1.0 x))
(square-root 2)
#| END |#
#| BEGIN (Write your solution here) |#
(define (sqrt-iter guess x)
(let ((last_guess guess))
(if (good-enough? guess x last_guess)
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 last_guess)
(and (< (abs (- (sqr guess) x)) 0.001) (< (abs (- guess last_guess)) 0.001)))
(define (square-root x)
(sqrt-iter 1.0 x))
(square-root 2)
#| END |#
#| BEGIN (Write your solution here) |#
(define (sqrt-iter guess x)
(let ((last_guess guess))
(if (good-enough? guess x last_guess)
guess
(sqrt-iter (improve guess x) x))))
(define (improve guess x)
(average guess (/ x guess)))
(define (square x)
(* x x)
)
(define (average x y)
(/ (+ x y) 2))
(define (good-enough? guess x last_guess)
(and (< (abs (- (square guess) x)) 0.001) (< (abs (- guess last_guess)) 0.001)))
(define (square-root x)
(sqrt-iter 1.0 x))
(square-root 2)
#| END |#
#| BEGIN (Write your solution here) |#
(define (sqrt-iter guess x)
(let ((last_guess guess))
(if (good-enough? guess x last_guess)
guess
(sqrt-iter (improve guess x) x))))
(define (improve guess x)
(average guess (/ x guess)))
(define (square x)
(* x x)
)
(define (average x y)
(/ (+ x y) 2))
(define (good-enough? guess x last_guess)
(and (< (abs (- (square guess) x)) 0.0001) (< (abs (- guess last_guess)) 0.0001)))
(define (square-root x)
(sqrt-iter 1.0 x))
(square-root 2)
#| END |#