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If (x,y) satisfies the simultaneous equations

 

3xy - 4x^2 - 36y + 48x = 0 and
x^2 - 2y^2 = 16,
 

where  and  may be complex numbers, determine all possible values of y^2. Thanks!

 Apr 27, 2021
 #1
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The possible values of y^2 are 8 and 12.

 May 22, 2021

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