If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\)

Assessment: JAMB UTME - Mathematics - 2005 Subject: General Mathematics

Question 1 Report

If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\)

Answer Details

x +  1 x  = 4, find x2 +  1 x 2
= (x +  1 x )2 = x2 +  1 x 2  + 2
x2 +  1 x 2  = ( x +  1 x 2 )2 - 2
= (4)2 - 2
= 16 - 2
= 14

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