若x+y=5,xy=4,求x-y的值

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若x+y=5,xy=4,求x-y的值若x+y=5,xy=4,求x-y的值若x+y=5,xy=4,求x-y的值(x+y)^2=5^2x^2+2xy+y^2=25x^2+2xy+y^2-4xy=25-4x

若x+y=5,xy=4,求x-y的值
若x+y=5,xy=4,求x-y的值

若x+y=5,xy=4,求x-y的值
(x+y)^2=5^2
x^2+2xy+y^2=25
x^2+2xy+y^2-4xy=25-4xy
x^2-2xy+y^2=25-16=9
(x-y)^2=9
x-y=±3

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