If [a-1/a] = √5, find the values of : (i) [a+1/a] (ii) [a³+1/a³]
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[a-1/a] = √5
[a-1/a]^2 = 5
a^2+1/a^2-2 = 5
a^2+1/a^2 = 5-2 = 3
Hence, a^2+1/a^2 = 3
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