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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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