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 t
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`
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Correct Answer - 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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