for-positive-real-number-x-and-y-xy-16-then-find-the-minimum-value-of-x-y-greatest-integer-function-

Question Number 174211 by infinityaction last updated on 27/Jul/22

f o r p o s i t i v e r e a l n u m b e r x

a n d y, x y = 16 t h e n f i n d t h e

m i n i m u m v a l u e o f [x] + [y],

[] g r e a t e s t i n t e g e r f u n c t i o n

Answered by MJS_new last updated on 27/Jul/22

the minimum value is 7 in these intervals :

\frac{8}{3} < x < 3 ⌊ x ⌋ = 2 \land ⌊ y ⌋ = 5

\frac{16}{5} < x < 4 ⌊ x ⌋ = 3 \land ⌊ y ⌋ = 4

4 < x < 5 ⌊ x ⌋ = 4 \land ⌊ y ⌋ = 3

\frac{16}{3} < x < 6 ⌊ x ⌋ = 5 \land ⌊ y ⌋ = 2

Commented by infinityaction last updated on 27/Jul/22

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