已知(x+y)^2=11,(x-y)^2=9,求xy的值

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已知(x+y)^2=11,(x-y)^2=9,求xy的值
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已知(x+y)^2=11,(x-y)^2=9,求xy的值
已知(x+y)^2=11,(x-y)^2=9,求xy的值

已知(x+y)^2=11,(x-y)^2=9,求xy的值
∵(x+y)²=11
∴x²+2xy+y²=11…………①
∵(x-y)²=9
∴x²-2xy+y²=9…………②
①-②得
4xy=2
xy=2÷4
xy=0.5
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（x+y ）²-（x-y)²=11-9
(x+y+x-y)(x+y-x+y)=2
(2x)(2y)=2
4xy=2
xy=1/2

(x+y)^2-(x-y)^2=4xy=11-9
xy=1/2

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