已知m属于R,若(m+mi)^6=-64i,则m等于?
问题描述:
已知m属于R,若(m+mi)^6=-64i,则m等于?
答
(m+mi)^6=-64i
m^6*(1+i)^6=-64i
(1+i)^6=-8i
m^6=8
m=±√2