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Find-all-solutions-of-2020x-2-y-2-6059-x-y-lt-2020-x-y-N-




Question Number 84767 by naka3546 last updated on 16/Mar/20
Find  all  solutions  of         2020x^2  − y^2   =  6059  x, y <  2020  ,   x, y  ∈  N
$${Find}\:\:{all}\:\:{solutions}\:\:{of} \\ $$$$\:\:\:\:\:\:\:\mathrm{2020}{x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:\:=\:\:\mathrm{6059} \\ $$$${x},\:{y}\:<\:\:\mathrm{2020}\:\:,\:\:\:{x},\:{y}\:\:\in\:\:\mathbb{N} \\ $$
Answered by mr W last updated on 16/Mar/20
i got  x=27, y=1211  x=45, y=2021
$${i}\:{got} \\ $$$${x}=\mathrm{27},\:{y}=\mathrm{1211} \\ $$$${x}=\mathrm{45},\:{y}=\mathrm{2021} \\ $$

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