Question

A-1/a=8
1).a+1/a
2).a²-1/a²

Answer 1

Answer:

1)

a-1/a = 8

=> (a - 1/a)^2 = 8^2

=> a^2 + 1/a^2 - 2 = 64

=> a^2 + 1/a^2 = 66

=> (a + 1/a + 2) = 68

=> (a + 1/a)^2 = 68

=> a + 1/a = root 68

2)

a^2 - 1/a^2

= (a + 1/a)(a - 1/a)

= (root 68)(8)

= 8root68

= 16 root 7

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