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Question Number 185386 by Rupesh123 last updated on 20/Jan/23

Commented by floor(10²Eta[1]) last updated on 21/Jan/23

$${\mathrm{a}}^2+2\mathrm{ab}+{\mathrm{b}}^2+1990\mathrm{a}+1990\mathrm{b}+36=$$$$={\mathrm{a}}^2+1990\mathrm{a}+36+{\mathrm{b}}^2+1990\mathrm{b}+36$$$$\Rightarrow 2\mathrm{ab}=36\Rightarrow \mathrm{ab}=18$$$$(\mathrm{a},\mathrm{b})=\{(18,1),(9,2),(6,3),(3,6),(2,9),(1,18)\}$$

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