若(x+y)^2=11,(x-y)^2=7,则xy的值为________.

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若(x+y)^2=11,(x-y)^2=7,则xy的值为________.若(x+y)^2=11,(x-y)^2=7,则xy的值为________.若(x+y)^2=11,(x-y)^2=7,则xy的

若(x+y)^2=11,(x-y)^2=7,则xy的值为________.
若(x+y)^2=11,(x-y)^2=7,则xy的值为________.

若(x+y)^2=11,(x-y)^2=7,则xy的值为________.
(x+y)^2=x^2+y^2+2xy=11
(x-y)^2=x^2+y^2-2xy=7
两式相减 ,得
4xy=4
xy=1

列方程嘛

(x+y)^2=x^2+2xy+y^2=11,(x-y)^2=x^2-2xy+y^2=7,两式相减,得4xy=4,xy=1