Question

If(x- 1 /x )=8, find the values of ( i)(x + 1/x)
(ii) (x ^ 2 - 1/(x ^ 2))

Answer 1

x-1=8x

x -8x=1

-7x=1

X=-1/7

Therefore

X+1/x = -1/7+1/(-1/7)

= -1/7-7/1

=-8/7 and

X²-1/x²

(-1/7)²-1/(-1/7)²

(1/49)-1/(1/49)

-48/49/1/49

=-48 ans