If x2 + 1/x2 = 27, find the value of x – 1/x.

If x² + 1/x² = 27, find the value of x – 1/x.

Answer :

We know that

(x – 1/x)² = x² + 1/x² – 2

Substituting the values

(x – 1/x)² = 27 – 2 = 25

So we get

x – 1/x = ± √25 = ± 5

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