已知13X^2-6XY+Y^2-4X+1=0,求(XY-X^2)^5的值.

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已知13X^2-6XY+Y^2-4X+1=0,求(XY-X^2)^5的值.
已知13X^2-6XY+Y^2-4X+1=0,求(XY-X^2)^5的值.

已知13X^2-6XY+Y^2-4X+1=0,求(XY-X^2)^5的值.
13x^2-6xy+y^2-4x+1=0
9x^2-6xy+y^2+4x^2-4x+1=0
(3x-y)^2+(2x-1)^2=0
3x-y=0,
2x-1=0,
x=0.5
y=3*0.5=1.5
(xy-x^2)^5
=(0.5*1.5-0.5^2)^5
=(0.5(1.5-0.5))^5
=0.5^5
=1/32

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