Mathematics, 18.07.2019 11:00, rebekahwirogo

If $(x, y)$ satisfies the simultaneous equations \begin{align} 3xy - 4x^2 - 36y + 48x & = 0, \\ x^2 - 2y^2 & = 16, \end{align}where $x$ and $y$ may be complex numbers, determine all possible values of $y^2$.

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If $(x, y)$ satisfies the simultaneous equations \begin{align*} 3xy - 4x^2 - 36y + 48x & = 0, \\ x^2 - 2y^2 & = 16, \end{align*}where $x$ and $y$ may be complex numbers, determine all possible values of $y^2$.

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If $(x, y)$ satisfies the simultaneous equations \begin{align} 3xy - 4x^2 - 36y + 48x & = 0, \\ x^2 - 2y^2 & = 16, \end{align}where $x$ and $y$ may be complex numbers, determine all possible values of $y^2$.