Hi,

try the following approach:

1. Divide both sides by \((2-sqrt5)\).

Results in \(x=-\frac{1}{(2-sqrt5)}\)

Skim the answers. There is no any that match. So, modify further

2. Multiply two part of fraction by \((2+sqrt5)\) and get

\(x=-\frac{(2+sqrt5)}{(2^2-sqrt5^2)}=-\frac{(2+sqrt5)}{(4-5)}=-\frac{(2+sqrt5)}{(-1)}=2+sqrt5\)

The answer should be

A.

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