Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Total number of solutions of [x] 2 = x + 2{x}, where [.] and {.} denotes the greatest integer function and fractional part respectively is equal to
Text Solution
Verified by ExpertsThe correct answer is:
B
[x] 2 = x + 2{x}
⇒ ⇒ [x] 2 = [x] + 3[x] ⇒ ⇒ 
⇒ ⇒ 
< 1 ⇒ ⇒ 0 ≤ [x] 2 − − [x] < 3
⇒ ⇒ [x] ∈ ∈ 
⇒ ⇒ [x] = − − 1, 0, 1, 2 ⇒ ⇒ {x} = 
, 0, 0, 
⇒ ⇒ x = 
, 0, 1, 
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