已知x+y=6,xy=3,求x-y的值
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已知x+y=6,xy=3,求x-y的值
已知x+y=6,xy=3,求x-y的值
已知x+y=6,xy=3,求x-y的值
x+y=6
两边平方
x²+2xy+y²=36
x²+y²=36-2xy=30
(x-y)²
=x²-2xy+y²
=30-6
=24
所以x-y=±2√6
(x-y)^2=(x+y)^2-4xy=36-9=25
x-y的值
5或-5
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