Question

If a-1/a=√5 .Find a+1/a and a^3+1/a^3

Answer 1

Answer:

If a-1/a = 5 .

then, [a -1/a]^3 = (5)^3

a^3 - 1/a^3 - 3a×1/a(a - 1/a) = 125

a^3 -1/a^3 -3(5) = 125. (putting the value of a -1/a).

a^3 -1/a^3 -15 =125

a^3 - 1/a^3 = 125 + 15 = 140.

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