Given: ​

​$$x + \frac{1}{x} = 3 \sqrt{2}$$ 

Formula Used: ​

​$$(a+b)^2 = a^2+b^2+2ab$$ 

$$(a-b)^2 = a^2+b^2-2ab$$ 

​$$a^2 - b^2 = (a+b)(a-b)$$ 

Solution: ​

As per the question;

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