Question 1 Report
If \(x + \frac{1}{x} = 4\), find \(x^2 + \frac{1}{x^2}\)
Answer Details
x + 1x 1 x = 4, find x2 + 1x2 1 x 2 = (x + 1x 1 x )2 = x2 + 1x2 1 x 2 + 2 x2 + 1x2 1 x 2 = ( x + 1x2 1 x 2 )2 - 2 = (4)2 - 2 = 16 - 2 = 14
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