if x+1/x = 5 , then x²+1/x² =
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Explanation:
Given :
( x + 1 /x ) = 5
We need to find X2+ 1 / x2
( x + 1 / x )2 = 25
= x2 + 1 / x2 + 2 (x)(1)(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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