x+1/x=6,则x^2+1/x^2=,(x-1/x)^2
问题描述：
x+1/x=6,则x^2+1/x^2=,(x-1/x)^2
答
x^2+1/x^2=34
(x-1/x)^2 =32
因为x+1/x=6，所以（x+1/x）^2=x^2+1/x^2+2=36
得出x^2+1/x^2=34
（x-1/x）^2=x^2+1/x^2-2=34-2=32
答
x^2+1/x^2=x²+1/x²+2-2=(x+1/x)²-2=6²-2=34
(x-1/x)^2 =x²+1/x²-2=34-2=32
答
x^2+1/x^2
=(x+1/x)^2-2
=6^2-2
=36-3
=34
(x-1/x)^2
=(x+1/x)^2-4
=6^2-4
=36-4
=32