已知x-y=2,x^2+y^2=4,求x^2004+y^2004的值.
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已知x-y=2,x^2+y^2=4,求x^2004+y^2004的值.已知x-y=2,x^2+y^2=4,求x^2004+y^2004的值.已知x-y=2,x^2+y^2=4,求x^2004+y^20
已知x-y=2,x^2+y^2=4,求x^2004+y^2004的值.
已知x-y=2,x^2+y^2=4,求x^2004+y^2004的值.
已知x-y=2,x^2+y^2=4,求x^2004+y^2004的值.
x-y=2 平方
x^2-2xy+y^2=4
xy=0
x-y=2
x=2+y
(2+y)*y=0
y=0或y=-2
x=2或x=0
所以
x^2004+y^2004
=0^2004+(±2)^2004
=2^2004
x-y=2,x^2+y^2=4
所以 x=2 y=0
x^2004+y^2004=2^2004
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