设a,b∈R,(2+b)/(a-i)=0.5-i,则a+bi=_数学解答

设a,b∈R,(2+b)/(a-i)=0.5-i,则a+bi=

人气：428 ℃　时间：2020-07-01 06:54:19

解答

2+b=(a-i)(0.5-i)=0.5a+0.5i-ai+1
b-0.5a+1+(a-0.5)i=0
∵a,b∈R
∴b-0.5a+1=a-0.5=0
∴a＝0.5,b＝－0.75