如果复数z(2-3i)=6+4i,则z的模为_.

问题描述:

如果复数z(2-3i)=6+4i,则z的模为______.

∵z(2-3i)=6+4i,
∴z=

6+4i
2−3i
=
(6+4i)(2+3i)
(2−3i)(2+3i)
=
26i
22+32
26i
13
=2i,
∴|z|=2,
故答案为:2