Question

if 1/X=2+√3THEN FIND THE VALUE OF X+1/X​

Answer 1

Step-by-step explanation:

The answer is 2√3.......

Answer 2

Answer:

4 is your ANSWER

Step-by-step explanation:

$\blue{ \sf{ \underline{ QUESTION} \: : - }}$

if 1/X=2+√3THEN FIND THE VALUE OF X+1/X

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$\sf{ \purple{ given}}$

${ \bf{ x = 2 + \sqrt{3}}}$

$\sf { \green{to \: find}}$

${ \bf{ x + \frac{1}{x} }}$

$\star{ \pink{ \underline{ \underline{Ｓｏｌｕｔｉｏｎ \: : - }}}}$

$\implies{ \bf{ \frac{1}{x} = \frac{1}{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} }}}$

$\implies {\bf{ \frac{1}{x} = \frac{2 - \sqrt{3} }{( {2}^{2}) - ( \sqrt{ {3}^{2} } ) }}}$

$\implies {\bf{ \frac{1}{x} = \frac{2 - \sqrt{3} }{ 4 - 3 }}}$

$\implies{ \bf{ \frac{1}{x} = \frac{2 - \sqrt{3} }{1}}}$

$\implies{ \bf{ \frac{1}{x} = 2- \sqrt{3}}}$

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${ \bf{ x + \frac{1}{x} }}$

$\bf{ = 2 + \sqrt{3} + 2 - \sqrt{3}}$

= 2 + 2

= 4