Question 6 - A-Level Maths

(i) Evaluate $\left( 5 \frac { 4 } { 9 } \right) ^ { - \frac { 1 } { 2 } }$.
(ii) Find the value of $x$ such that

$$\frac { 1 + x } { x } = \sqrt { 3 } ,$$ giving your answer in the form $a + b \sqrt { 3 }$ where $a$ and $b$ are rational.