FunctionHard

Question

If [x2] + x = a has solution(s), a ∈ N, then ′a′ may be (where [.] denotes greatest integer function)-

Options

A.2
B.12
C.20
D.24

Solution

x = a - [x2]
⇒ x = a – x2 ⇒ a = x(x + 1)
∴ a can be 2, 12 & 20

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