已知(x+y)^2=9,(x-y)^2=5,求x^2+y^2和xy的值
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已知(x+y)^2=9,(x-y)^2=5,求x^2+y^2和xy的值已知(x+y)^2=9,(x-y)^2=5,求x^2+y^2和xy的值已知(x+y)^2=9,(x-y)^2=5,求x^2+y^2
已知(x+y)^2=9,(x-y)^2=5,求x^2+y^2和xy的值
已知(x+y)^2=9,(x-y)^2=5,求x^2+y^2和xy的值
已知(x+y)^2=9,(x-y)^2=5,求x^2+y^2和xy的值
(x+y)^2=x^2+2xy+y^2=9,
(x-y)^2=x^2-2xy+y^2=5
上式加下式得
2(x^2+y^2)=14
得 x^2+y^2=7
上式减下式得
4xy=4
得 xy=1
x²+y²=[(x+y)²+(x-y)²]/2=(9+5)/2=7
xy=[(x+y)²-(x-y)²]/4=(9-5)/4=1
望采纳~~~~~~
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