Three Simple Math Problems
April 12, 2019
You can watch the videos to see the analytical solutions. Here are programming solutions to the three problems:
> (do ((y 10 (+ y 1))) ((square? (- (expt 2 y) 615)) (list (isqrt (- (expt 2 y) 615)) y))) (59 12)
> (list-of (list a b c) (a range 1 10) (b range 1 10) (c range 1 10) (= (+ (* 100 a) (* 10 b) c) (+ (fact 1) (fact b) (fact c)))) ((1 4 5))
> (list-of (list p i e) (p range 1 10) (i range 1 10) (e range 1 10) (= (+ (sqrt (+ (* 10 p) i)) e) (sqrt (+ (* 100 p) (* 10 i) e)))) ((1 6 9))
You can run the program at https://ideone.com/DEm8X7.
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