Show that the equation \(x ( x - 3 ) ^ { 2 } = 2\) can be expressed as \(x ^ { 3 } - 6 x ^ { 2 } + 9 x - 2 = 0\).
Show that \(x = 2\) is one root of this equation and find the other two roots, expressing your answers in surd form.
Show the location of these roots on your sketch graph in part (i).