Question

if x =3+root 8 find 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. Ans.

Step-by-step explanation:

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Answer 2

ANSWER; 34

x =3+✓8

x^2 = (3+✓8)^2

x^2 = 9+8+6✓8

x^2= 17+6✓8

1/x^2= 1/17+6✓8. .

1/x^2= 17-6✓8/289-36×8

1/x^2= 17-6✓8/289-288

1/x^2 =17-6✓8

NOW,.

= x^2+1/x^2

=. 17+6✓8+17-6✓8

= 17 +17

=. 34 Ans