IP1U4 SWII (Further App. of Alg. Id.) Q17

IP1U4 SWII (Further App. of Alg. Id.) Q17

IP 1

Given that \(x+\frac{1}{x}=5\), find the values of

\(x^2 + \frac{1}{x^2}\)
\(x^4 + \frac{1}{x^4}\)
\(\left(x - \frac{1}{x}\right)^2\)

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Answer:(i) \(23\) (ii) \(527\) (iii) \(21\)

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