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The number of integers satisfying the in...

The number of integers satisfying the inequation `|x-1|le[(sqrt(2)+1)^(6)+(sqrt(2)-1)^(6)]` where `[.]` denotes greatest integer function is greater than and equal to :

A

`198`

B

`396`

C

`397`

D

`398`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
The number of ………..
Using binomial theorem, `(sqrt(2)+1)^(6)+(sqrt(2)-1)^(6) = 198`
Hence `|x-1|le198`
`implies x-1 epsilon [-198, 198]`
`implies x epsilon [-197, 199]` , `:. 397`
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