If (a+1/a) =3 then (a^2+1/a^2)
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a+1/a=3
=> (a+1/a)^2=3^2
=> a^2+2.a.1/a+1/a^2=9
=> a^2+2+1/a^2=9
=> a^2+1/a^2=9-2
=> a^2+1/a^2=7
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