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solution set for {x} [x] = 1 if {} represent fractional part function and [] represent greatest integer function ans is m + 1/m ; m belongs to I - {0}

solution set for {x} [x] = 1 if {} represent fractional part function and [] represent greatest integer function

ans is m + 1/m ; m belongs to I - {0}

Grade:12

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
7 years ago
x=[x]+{x};
now {x}=1/[x] given
=> x=[x]+1/[x]
[x] is always an integer since 1/[x] is in the expression so we remove the case where [x]=0
=> I-{0}

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