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Question Number 111781 by mohammad17 last updated on 04/Sep/20

Commented by Dwaipayan Shikari last updated on 04/Sep/20

$$\frac{2n+14}{n+7}-\frac{15}{n+7}=2-\frac{15}{n+7}$$$$n(-2,-4,,-6,-8,-10,-12,-22,8)$$

Commented by mohammad17 last updated on 04/Sep/20

$$thankyousir$$

Commented by Aziztisffola last updated on 04/Sep/20

$$\frac{2\mathrm{n}-1}{\mathrm{n}+7}=2-\frac{15}{\mathrm{n}+7}=\mathrm{k}\in \mathbb{Z}$$$$\Rightarrow \frac{15}{\mathrm{n}+7}=2-\mathrm{k}\in \mathbb{Z}\Rightarrow \mathrm{n}+7\mid 15$$$$\mathrm{n}+7=\underset{-}{+}15\Rightarrow \mathrm{n}=8;\mathrm{n}=-22$$$$\mathrm{n}+7=\underset{-}{+}5\Rightarrow \mathrm{n}=-2;\mathrm{n}=-12$$$$\mathrm{n}+7=\underset{-}{+}1\Rightarrow \mathrm{n}=-6;\mathrm{n}=-8$$$$\mathrm{n}+7=\underset{-}{+}3\Rightarrow \mathrm{n}=-4;\mathrm{n}=-10$$

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