Now you need integral roots, so obviouislly, the discriminant should come out to be a perfect square. But since 2 is in the denominator, the number also must be a multiple of 2.
=> The discriminant is an ODD perfect square.
(where k is odd)
Given that n lies between 1 and 100, so we should be looking at perfect square
less than 400. hence, perfect squares we want are
which correspond to
edit: included missing value.
Moderation Team
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