Solve the below inequality:

$\displaystyle

({1 - \frac {x+2} {x^2}}) ^ {1/2} < \frac 2 3

$

I tried solving this as below :

squaring both side and after solving

$\displaystyle

(5x^2-9x+18) < 0

$

and the factors of the above equation comes to be

x= (9 +(81 - 360)^1/2)/10,(9 -(81 - 360)^1/2)/10

which turns out to be complex number

Please let me know how to proceed further.

Any help would be appreciated.

Thanks