Question

X-1/x=4 then x+1/×=
It's answer is 2 root 5 but I need it's solution.

Answer 1

X-1/X=4
X+1/X=(x-1/X)^2+2
X+1/X=4×4+2
X+1/X=16+2
X+1/X=18

Answer 2

THANKS FOR THE QUESTION
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$x - \frac{1}{x} = 4$
squaring both sides we get,
${x}^{2} + \frac{1}{ {x}^{2} } - 2 = {4}^{2}$
${x}^{2} + \frac{1}{ {x}^{2} } + 2 = 20$
${(x + \frac{1}{x} )}^{2} = \sqrt{20}$
$x + \frac{1}{x} = 2 \sqrt{5}$


HOPE IT HELPS

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