X-1/X=3,X²+1/X²=?

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X-1/X=3,X²+1/X²=?
X-1/X=3,X²+1/X²=?

X-1/X=3,X²+1/X²=?
X-1/X=3
(X-1/X)^2=9
X²+-2+1/X²=9
X²+1/X²=11

解X^2+1/X^2
=X^2-2+1/X^2+2
=(X-1/X)^2+2
=3^2+2
=11