If [x 2 ] + x − − a = 0 has a solution where a ∈ ∈ N and a …

Maths Functions, Limits, Continuity and Differentiability General Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

If [x 2 ] + x − − a = 0 has a solution where a ∈ ∈ N and a ≤ 20, then total number of different values of 'a' can be

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The correct answer is:

[x 2 ] + x − − a = 0 ⇒ ⇒ 'x' has to be an integer.

⇒ ⇒ a = x 2 + x = x(x + 1).

Thus 'a' can be 2, 6, 12, 20

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