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Sticky Note
If x + 1/x = 10, then x^2 = 1/x^2 = _____?
  1. 98
  2. 96
  3. 92
  4. None of these
Explanation

Given:

x + 1/x = 10

Squaring both sides:

(x + 1/x)^2 = 10^2

x^2 + 2(x)(1/x) + 1/x^2 = 100

x^2 + 2 + 1/x^2 = 100

Subtract 2 from both sides:

x^2 + 1/x^2 = 98

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