若x+y=3 xy=1 则x^2-y^2=?
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若x+y=3xy=1则x^2-y^2=?若x+y=3xy=1则x^2-y^2=?若x+y=3xy=1则x^2-y^2=?x+y=3x-y=±根号{(x+y)^2-4xy}=±根号{3^2-4}=±根号
若x+y=3 xy=1 则x^2-y^2=?
若x+y=3 xy=1 则x^2-y^2=?
若x+y=3 xy=1 则x^2-y^2=?
x+y=3
x-y=±根号{(x+y)^2-4xy}=±根号{3^2-4}=±根号5
x^2-y^2=(x+y)(x-y)=3*(±根号5)=±3根号5
x+y=3,xy=1
x^2+2xy+y^2-4xy=9-4=5
(x-y)^2=5
x-y=±根号5
所以x^2-y^2=±3根号5
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