已知(x+y)^2=16,(x-y)^2=4 求xy的值
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已知(x+y)^2=16,(x-y)^2=4 求xy的值
已知(x+y)^2=16,(x-y)^2=4 求xy的值
已知(x+y)^2=16,(x-y)^2=4 求xy的值
(x+y)²=16 (x-y)²=4
(x+y)²-(x-y)²=16-4
(x²+2xy+y²)-(x²-2xy+y²)=12
4xy=12
xy=3
X=3,Y=1,XY=3
因为(x+y)^2-*(x-y)^2=4xy,所以xy=3
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