Question

if X=3+√8, then the value of (x^2+1/x^2) is​

Answer 1

Step-by-step explanation:

X=3+√8

1/X= 1/(3+√8)

1/X={1/(3+√8)}x{(3-√8)/(3-√8)}

1/X=(3-√8)/3²-(√8)²

1/X= (3-√8)/9-8

1/X= 3-√8

now,

x²+1/x²

(3+√8)²+(3-√8)²

9+8+6√8+9+8-6√8

17+17-6√8+6√8

34

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