Question

If x-1/x=3+2√2, find the value of x^3-1/x^3​

Answer 1

Answer:

x- 1 / x = 3 + 2 root 2

x - 1 = 3x + 2 root 2 x

then,

x = -1 / (2root 2 + 2) _____(1)

x^3 -1 / x^3 = ? _____(2)

substituting (1) in (2),

we get, x^3 - 1 / x^3 = 1 + ( 2 root 2 + 2)^3.

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