5 A curve is defined by the equation
$$y ^ { 2 } - x y + 3 x ^ { 2 } - 5 = 0$$
- Find the \(y\)-coordinates of the two points on the curve where \(x = 1\).
- Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { y - 6 x } { 2 y - x }\).
- Find the gradient of the curve at each of the points where \(x = 1\).
- Show that, at the two stationary points on the curve, \(33 x ^ { 2 } - 5 = 0\).