已知x+1/x=4,求x²+1/x²=【】【x-1/x】²

问题描述:

已知x+1/x=4,求x²+1/x²=【】【x-1/x】²

x+1/x=4
两边平方
x²+2+1/x²=16
x²+1/x²=14
(x-1/x)²
=x²-2+1/x²
=12