If a≠0 and a-1/a =3 find a^2+1/ a^2
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a-1/a=3
Squaring on both sides
(a-1/a)²=3²
a²+1/a²-2=9 => (a-b)²=a²+b²-2ab
a²+1/a²=9+2
a²+1/a²=11
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