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a-b-2009-find-a-and-b-




Question Number 171866 by Mikenice last updated on 21/Jun/22
(√a)+(√b)=(√(2009)). find a and b.
$$\sqrt{{a}}+\sqrt{{b}}=\sqrt{\mathrm{2009}}.\:{find}\:{a}\:{and}\:{b}. \\ $$
Commented by infinityaction last updated on 21/Jun/22
{(0,2009),(41,41×63)(41×4,41×25)  (41×9,41×16)...}
$$\left\{\left(\mathrm{0},\mathrm{2009}\right),\left(\mathrm{41},\mathrm{41}×\mathrm{63}\right)\left(\mathrm{41}×\mathrm{4},\mathrm{41}×\mathrm{25}\right)\right. \\ $$$$\left.\left(\mathrm{41}×\mathrm{9},\mathrm{41}×\mathrm{16}\right)…\right\} \\ $$

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