5. The rectangular hyperbola \(H\) has equation \(x y = 9\)
The point \(A\) on \(H\) has coordinates \(\left( 6 , \frac { 3 } { 2 } \right)\).
- Show that the normal to \(H\) at the point \(A\) has equation
$$2 y - 8 x + 45 = 0$$
The normal at \(A\) meets \(H\) again at the point \(B\).
- Find the coordinates of \(B\).