若复数z=x+3i1?i(x,y∈R,i为虚数单位)是实数,则x的值为______

日期:2014-11-11 20:40:33 人气:1

若复数z=x+3i1?i(x,y∈R,i为虚数单位)是实数,则x的值为______

∵复数z=x+3i1?i(x,y∈R,i为虚数单位)是实数,∴复数z=x+3i1?i=(x+3i)(1+i)(1?i)(1+i)=x?3+(3+x)i2 是实数,∴x+3=0,∴x=-3,故答案为-3.
    A+
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