已知 (x+y)^2=4,(x-y)^2=3,试求:(1)x^2+y^2的值;(2)xy的值.
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已知 (x+y)^2=4,(x-y)^2=3,试求:(1)x^2+y^2的值;(2)xy的值.
已知 (x+y)^2=4,(x-y)^2=3,试求:(1)x^2+y^2的值;(2)xy的值.
已知 (x+y)^2=4,(x-y)^2=3,试求:(1)x^2+y^2的值;(2)xy的值.
x²+2xy+y²=4
x²-2xy+y²=3
两式相加
2(x²+y²)=7
x²+y²=7/2
两式想减
4xy=1
xy=1/4
(x+y)^2=4,(x-y)^2=3,
展开相加 2x^2+2Y^2=7:(1)x^2+y^2=7/2
展开相减 4xy=1;(2)xy=1/4
两式子相减
4xy=1
xy=1/4
x^2+y^2=4-2/4=7/2
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