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If x-1x = 11, then find the value of (x2+1x2). -

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Question

If `x - 1/x` = 11, then find the value of `(x^2 + 1/x^2)`.

Options

  • 213

  • 123

  • 121

  • None of these

MCQ

Solution

123

Explanation:

`(x - 1/x)^2 = x^2 + 1/x^2 - 2`

`x^2 + 1/x^2 = (x - 1/x)^2 + 2`

= 112 + 2

= 121 + 2

= 123

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Algebra (Entrance Exam)
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