sqrt5 -1/x = sqrt5/2
i cross multiplied and i got 3.5= 2.23x
is that right?
well, since √5 = 2.235, it looks like you cross-multiplied and ended up with
√5+1 = √5/2 x (almost)
So, either there is a typo, or you got + and - mixed up.
The next question is, did you mean
(√5-1)/x = √5/2
or
√5 - (1/x) = √5/2
??
In any case, your answer is not correct for the equation as written