Question

高中复数题目，跪求解答过程

已知m属于R,若(m+mi)^6=-64i,则m等于？

Answer 1

(m+mi)^6=-64i
m^6*(1+i)^6=-64i
(1+i)^6=-8i
m^6=8
m=±√2

Answer 2

4i^3是-64i,所以（m+mi)^2=4i,即m^2(1+i)^2=4i,而(1+i)^2=2i,所以m^2=2,m=根号2或者负根号2.