


.故0∈U.===>x3+3x3+2x=x(x+1)(x+2)=0.===>x=0或x=-1,或x=-2.(1)当x=0时,U={0,1,3},A={1,1}这与集合的互异性矛盾,故x≠0.(2)当x=-1时,U={0,1,3},A={1,3}.显然此时符合题设。(3)当x=-2时,U={0,1,3},A={1,5},这与题设U为全集矛盾,故x≠-2.综上可知,符合题设的实数x=-1.2023-12-20 / 1.1

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