题目内容

设全集I = {2,3,x2 + 2x 3},A = {5},A = {2,y},求xy的值.

解析:A   I,∴5∈I,∴x2 + 2x 3 = 5即x2 + 2x 8 = 0,解得x = 4或x = 2.

I = {2,3,5},∵y,∴yI,且yA,即y≠5,

y = 2或y = 3.

又知A中元素的互异性知:y≠2,

综上知:x = 4或x = 2;y = 3为所求.

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