若复数z满足z(2-i)=11+7i(i为虚数单位),则.z=_.

问题描述:

若复数z满足z(2-i)=11+7i(i为虚数单位),则

.
z
=______.

由z(2-i)=11+7i,得
z=

11+7i
2−i
(11+7i)(2+i)
(2−i)(2+i)
15+25i
5
=3+5i,
.
z
=3−5i

故答案为:3-5i.