已知㎡-5m-1=0,求m^4+1/㎡的值

问题描述:

已知㎡-5m-1=0,求m^4+1/㎡的值
速求

m²-1=5m
两边平方
m^4-2m²+1=25m²
m^4+1=27m²
(m^4+1)/m²=27