若z满足（1-2i）²＝（4-3i）z,求|z|等于?

若z满足（1-2i）²＝（4-3i）z,求|z|等于?
若z满足（1-2i）²＝（4-3i）z,求|z|等于?

若z满足（1-2i）²＝（4-3i）z,求|z|等于?
解[(4z+3)/(3z-4)]的平方=-1
解得z的绝对值即复数i

由（1-2i）²＝（4-3i）z得：|(1-2i）²|=|4-3i|*|z|，
即：|z|=|1-2i|^2/|4-3i|=5/5=1