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