Question

If x=3+√8,find x+1/x
Step by Step Explanation​

Answer 1

Answer:

If x=3+√8, then how do I find the value of (x²+1/x²)?

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14

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17 Answers



Mohammad Sahil, Studying at National Institute of Technology, Rourkela (2019-present)

Answered May 3, 2017

Here

x = 3+ √8

x = (3+√8)(3-√8) / (3-√8)

x = (9 -8) / (3-√8)

x = 1/ (3 -√8)

Or we can write 1/x = (3-√8)

Put the value and find out

x² +(1/x²) = x² + (1/x)²

So x² + 1/ x² = (3 +√8)² + (3 -√8)²

= 9+6√8+8 + 9–6√8+8

= 34. Ans…………...

Thanks.::))

Step-by-step explanation:

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