If x - 1/x =9, find the value of x² + 1/x²
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Consider (x – 1/x) = 9 Squaring on both the sides,
we get [x – (1/x)]2
= 32 x2 – 2 (x) (1/x) + (1/x2)
= 9 x2 – 2 + (1/x2) = 9
Therefore, x2 + (1/x2)
= 9 + 2 = 11
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