已知复数z满足(2-i)z=5(i是虚数单位),则|z|=______
已知复数z满足(2-i)z=5(i是虚数单位),则|z|=______
日期:2016-03-30 02:12:09 人气:1
∵复数z满足(2-i)z=5(i是虚数单位),∴z= 5 2-i = 5(2+i) (2-i)(2+i) = 5(2+i) 5 =2+i.∴|z|= 2 2 + 1 2 = 5 .故答案为 5 .