... (ii) where (x) and [x] are fractional part function and greatest integer function. We have to find the value of x . Consider, equation (i) 5 (x) = x + [x] ⇒ 5 (x) = [x] + (x) + [x] [Since, x = [x] + (x)] ⇒ 5 (x) = 2 [x] + (x) ⇒ 4 (x) = 2 [x] ⇒ (x) =
[x]
2
Substituting the value in (i), we get [x] = 1 and (x) =