Question

if x= 5 - 2root2 find x-1/x​

Answer 1

Step-by-step explanation:

x=5-2√2

to find=x-1/x

put value of x in this equation

5-2√2-1/5-2√2

then 5-2√2 cuts because of division

1-1=0

Answer 2

Step-by-step explanation:

$given \: x = 5 - 2 \sqrt{2} \\ so \: \: \: x + \frac{1}{x} \\ = \frac{ {x}^{2} + 1 }{x} \\ = \frac{ {(5 - 2 \sqrt{2)} }^{2} + 1}{5 - 2 \sqrt{2} } \\ = \frac{ (- 2 \sqrt{2 } + 6)(5 + 2 \sqrt{2)} }{(5 - 2 \sqrt{2})(5 + 2 \sqrt{2} )} \\ = \frac{2 \sqrt{2} + 22 }{25 - 16} \\ = \frac{2 \sqrt{2} + 22}{9}$

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