N2017 P1 Q3

Do not use a calculator in answering this question.

A curve \(C\) has equation \(y^2-2xy+5x^2-10=0\).

1. Find the exact \(x\)-coordinates of the stationary points of \(C\).[4]
2. For the stationary point with \(x>0\), determine whether it is a maximum or minimum.[3]