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Zhejiang senior high school mathematics examination paper
The previous formula is: (x- 1)*(y- 1)=2.

Prove that x+y = > Root number 2 +2, just need to prove (x-1)+(y-1) = > Er gen Hao er

It can be proved by basic inequalities.

Note: When applying the basic inequality, the elements must be positive numbers, which can be simply discussed by combining the X, y∈ positive real numbers of the topic.