已知(x+y)05=11,(x-y)05=7,求x05+y05及xy的值

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已知(x+y)05=11,(x-y)05=7,求x05+y05及xy的值
已知(x+y)05=11,(x-y)05=7,求x05+y05及xy的值

已知(x+y)05=11,(x-y)05=7,求x05+y05及xy的值
(x+y)^2=11,
x^2+2xy+y^2=11 (1)
(x-y)^2=7
x^2-2xy+y^2=7 (2)
(1)+(2)得
x^2+2xy+y^2+x^2-2xy+y^2=11+7
x^2+y^2=9
(1)-(2)得
x^2+2xy+y^2-x^2+2xy-y^2=11-7
4xy=4
xy=1

x+y)^2=11,
x^2+2xy+y^2=11 (1)
(x-y)^2=7
x^2-2xy+y^2=7 (2)
(1)+(2)得
x^2+2xy+y^2+x^2-2xy+y^2=11+7
x^2+y^2=9
(1)-(2)得
x^2+2xy+y^2-x^2+2xy-y^2=11-7
4xy=4
xy=1

已知x+y=10,xy=20.①x²+y²;②(x-y)²

(x+y)^2=11,
x^2+2xy+y^2=11 (1)
(x-y)^2=7
x^2-2xy+y^2=7 (2)
(1)+(2)得
x^2+2xy+y^2+x^2-2xy+y^2=11+7
x^2+y^2=9
(1)-(2)得
x^2+2xy+y^2-x^2+2xy-y^2=11-7
4xy=4
xy=1

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