已知复数Z与（Z+2）²—8i都是纯虚数,则Z=?
已知复数Z与（Z+2）²—8i都是纯虚数,则Z=?
人气：303 ℃ 时间：2019-11-18 21:39:51
解答
设Z=Bi
（Z+2）²—8i=（Bi+2）²—8i=4-B²+（4B-8）i
B=2或-2
4B-8不等于0
Z=-2i
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