若复数z1=2+mi(m∈R),z2=4-3i,且z1z2为实数,则m的值为(  )A.32B.?32C.?83D.8

2025-06-26 01:56:24
推荐回答(1个)
回答1:

由复数z1=2+mi(m∈R),z2=4-3i,

z1
z2
2+mi
4?3i
(2+mi)(4+3i)
(4?3i)(4+3i)
(8?3m)+(6+4m)i
25

=
8?3m
25
+
6+4m
25
i

因为
z1
z2
为实数,所以
6+4m
25
=0
,所以m=-
3
2

故选B.