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Given that \(x - \frac{1}{x} = i \sqrt{2},\) find \(x^{2187} - \frac{1}{x^{2187}}\)

 Mar 15, 2019
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x - 1/x =i*sqrt(2)

x^2187 - 1 / (x^2187) =

x^(2187+2187) - 1 / (x^2187) - Use substitution

(x^4374 -  1) / (x^2187) =i*sqrt(2)

 Mar 15, 2019

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