X=5+✓3 ; find x^2 +1/x^2 – InterviewSolution

1.

X=5+✓3 ; find x^2 +1/x^2

Answer»

First find x + 1/x by USING the IDENTITY. (x+ 1/x)^2 = (x- 1/x)^2 + 2. We have (x+ 1/x)^2 = 5^2 + 2 = 27. So x+ 1/x = √27 = 3 √3.

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