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Question Number 168480 by amin96 last updated on 11/Apr/22

n^2 +n+109=x^2   x−integer  positive integer solutions n=?

$$\boldsymbol{\mathrm{n}}^{\mathrm{2}} +\boldsymbol{\mathrm{n}}+\mathrm{109}=\boldsymbol{\mathrm{x}}^{\mathrm{2}} \\ $$$$\boldsymbol{\mathrm{x}}−\boldsymbol{\mathrm{integer}} \\ $$$$\boldsymbol{\mathrm{positive}}\:\boldsymbol{\mathrm{integer}}\:\boldsymbol{\mathrm{solutions}}\:\boldsymbol{\mathrm{n}}=? \\ $$

Commented by Rasheed.Sindhi last updated on 11/Apr/22

n=3,20,35,...

$$\mathrm{n}=\mathrm{3},\mathrm{20},\mathrm{35},... \\ $$

Commented by amin96 last updated on 12/Apr/22

solution?

$${solution}? \\ $$

Commented by Rasheed.Sindhi last updated on 12/Apr/22

$$ \\ $$

Commented by amin96 last updated on 12/Apr/22

?

$$? \\ $$

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