Question

if x = 2 + √3 , find the value of ( x + 1 / x )^2



( don't give unnecessary answers ) ( give correct answer only )​

Answer 1

Given:

• x = 2 + √3

To Find:

$\boxed{ \sf \pink{{(x + \frac{1}{x})}^{2} }}$

Solution:

$\frac{1}{ {x}^{2} } = \frac{1}{ {(2 + \sqrt{3} )}^{2} }$

Now,

${(x + \frac{1}{x})}^{2} = \frac{1}{ {x}^{2} } + {x}^{2} + 2 \times \cancel{x} \times \frac{1}{ \cancel{x}} \\ = \frac{1}{{(2 + \sqrt{3})}^{2} } + {(2 + \sqrt{3} )}^{2} + 2 \\ = \frac{1}{5} + 5 + 2 \\ = \frac{1}{5} + 7 \\ = \frac{36}{7}$

#helpingismypleasure

Answer 2

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$\huge\sf\underline\red{Answer}$

please see the attachment !!

$\huge\fbox\pink{hope\:its\:helpful}$

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