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數學翻譯:全文翻譯為英文

(21) (to match the score of 12 points)

Known f (x) = (X-2) e^x+a (x-1)^2 has 2 zeros

(I) the range of the value of a

(II) let x1:x2 be a formula F (x) two zeros, prove: x1+x2<2

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