已知xy=8满足x^2y-8xy^2-x+y=56,求x^2+y^2的值
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已知xy=8满足x^2y-8xy^2-x+y=56,求x^2+y^2的值
已知xy=8满足x^2y-8xy^2-x+y=56,求x^2+y^2的值
已知xy=8满足x^2y-8xy^2-x+y=56,求x^2+y^2的值
1
由原式得 ∵x^2y-xy^2-x+y=56
∴(x*y-1)(x-y)=56
∵x*y=8
∴x-y=8
∴x^2+y^2=(x-y)^2+2x*y =8^2+2*8=80
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