Expansion method need the last answer only
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a-1/a=7
(a-1/a)^2=a^2+1/a^2-2
49=a^2+1/a^2-2
51=a^2+1/a^2
(a+1/a)^2 =a^2 +1/a^2+2
(a+1/a)^2=51+2=53
a+1/a=53^1/2
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