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If (x,y) satisfies the simultaneous equation


\(\begin{align*} 3xy - 4x^2 - 36y + 48x &= 0, \\ x^2 - 2y^2 &= 16, \end{align*}\)

 

where x and y may be complex numbers, determine all possible values of \(y^2\).

 

tysm for your help

 Mar 5, 2022
 #1
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The only solutions are (12,8) and (12,-8), so y^2 = 64.

 Mar 5, 2022

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