已知复数z=4+3i/1+2i的虚部是什么
问题描述:
已知复数z=4+3i/1+2i的虚部是什么
答
z=(4+3i)/(1+2i)
=[(4+3i)*(1-2i)]/[(1+2i)*(1-2i)]
=(4+6-5i)/[1-(-4)]
=2-i
虚部是-1
答
z=4+3i/1+2i
=(4+3i)*(1-2i)/5
=(4+6-5i)/5
=2-i
虚部是-i