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Question Number 148362 by mathdanisur last updated on 27/Jul/21

Show that the equation  4xy-x-y=z^2   has no solution in natural numbers.

$${Show}\:{that}\:{the}\:{equation}\:\:\mathrm{4}{xy}-{x}-{y}={z}^{\mathrm{2}} \\ $$$${has}\:{no}\:{solution}\:{in}\:{natural}\:{numbers}. \\ $$

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