已知,x+y=5,xy=3,求（x-y)平方的值

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已知,x+y=5,xy=3,求（x-y)平方的值
已知,x+y=5,xy=3,求（x-y)平方的值

已知,x+y=5,xy=3,求（x-y)平方的值
(x-y)2=(x+y)2-4xy
=25-4*3=13

（x-y)^2=(x+y)^2-4xy=5^2-4*3=13

(x-y)^2
=(x+y)^2-4xy
=25-12
=13

(x+y)^2=25=x^2+y^2+2xy
因为(x-y)^2=x^2+y^2-2xy
所以(x-y)^2=(x+y)^2-4xy=25-12=13

(x-y)^2=5^2-4*3=25-12=13

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