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Question
If `x - 1/x = 4`, find the value of `x^2 + 1/x^2`.
Sum
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Solution
Given: `x - 1/x = 4`
Step-wise calculation:
1. Square both sides:
`(x - 1/x)^2 = 4^2`
`x^2 - 2 + 1/x^2 = 16`
2. Rearrange the equation:
`x^2 + 1/x^2 - 2 = 16`
`x^2 + 1/x^2 = 16 + 2`
`x^2 + 1/x^2 = 18`
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Chapter 3: Expansions - Exercise 3B [Page 72]
