(-1/2+根号3i)^3+(1/2+根号3i)^5=
问题描述:
(-1/2+根号3i)^3+(1/2+根号3i)^5=
答
错了吧
应该是原式=(cos2π/3+isin2π/3)³+(cosπ/3+isinπ/3)^5
=cos2π+isin2π+cos5π/3+isin5π/3
=1+1/2-√3i/2
=3/2-√3i/2