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determine the asymptotes of the curve 4(x^4+y^4)-17x^2y^2-4x(y^2-x^2)+2(x^2

determine the asymptotes of the curve 4(x^4+y^4)-17x^2y^2-4x(y^2-x^2)+2(x^2-2)=0 and show that the pass through the points of intersection of the curve with the ellipse x^2+4y^2=4.

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