If x + (1/x) = 5, find the value of [x - (1/x)]^2.
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( 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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