Question

if x=3+√8, find the value x^2+1/x^2​

Answer 1

Answer:

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.

Answer : 34