if-x-p-p-2-2-calculate-x-

Question Number 49640 by maxmathsup by imad last updated on 08/Dec/18

i f x \in [p, \sqrt{p^{2} + 2}] c a l c u l a t e [x]

Commented by maxmathsup by imad last updated on 08/Dec/18

p f r o m N

Commented by Abdo msup. last updated on 23/Dec/18

w e h a v e p ⩽ x ⩽ \sqrt{p^{2} + 2} ⩽ p + 1 \Rightarrow [x] = p

Answered by tanmay.chaudhury50@gmail.com last updated on 09/Dec/18

c o n s i d e r p = + v e i n t e g e r

p = I

\sqrt{p^{2} + 2} = I + f

w h e n x l i e s b e t w e e n [p, \sqrt{p^{2} + 2}]

= [I, I + f]

[x] = I t h a t i m p l i e s [x] = p