If x=2+√5, then find the value of (x - 1/x)^3.
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Answered by
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Answer:
Given :
( x + 1 /x ) = 5
We need to find x2 + 1 / x2
( x + 1 / x )2 = 25
= x2 + 1 / x2 + 2 (x)(1/x) = 25
= x2 + 1/x2 + 2 = 25
= x2 + 1 / x2 = 25 – 2
= x2 + 1 / x2=23
Hence x2 + 1 / x2 = 23
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