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If (x,y) satisfies the simultaneous equations

 

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

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

 Apr 27, 2021
 #1
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The only possible value of y^2 is 8.

 Apr 27, 2021
 #2
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are you sure? or is it 64.

Guest Apr 28, 2021

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