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

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

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  1. Answer:

    [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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    The second part is tough for me

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