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Question Number 121876 by oustmuchiya@gmail.com last updated on 12/Nov/20

Commented by liberty last updated on 12/Nov/20

$$\Rightarrow \sqrt{\mathrm{x}-6}=7-\sqrt{\mathrm{x}-1}$$$$\Rightarrow \mathrm{x}-6=49-14\sqrt{\mathrm{x}-1}+\mathrm{x}-1$$$$\Rightarrow 14\sqrt{\mathrm{x}-1}=54\Rightarrow \sqrt{\mathrm{x}-1}=\frac{27}{7}$$$$\Rightarrow \mathrm{x}-1=\frac{{27}^2}{49};\mathrm{x}=\frac{{27}^2+7^2}{49}=15.877551$$$$$$

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