Advertisements
Advertisements
Question
If `x - 1/x = 2`, find the value of `x^2 + 1/x^2`.
Sum
Advertisements
Solution
Given: `x - 1/x = 2`
Step-wise calculation:
1. Square both sides:
`(x - 1/x)^2 = 2^2`
`x^2 - 2 + 1/x^2 = 4`
2. Rearrange to isolate `x^2 + 1/x^2`:
`x^2 + 1/x^2 - 2 = 4`
`x^2 + 1/x^2 = 4 + 2`
`x^2 + 1/x^2 = 6`
shaalaa.com
Is there an error in this question or solution?
Chapter 3: Expansions - Exercise 3B [Page 72]
