Question

If x=3-√8
Find, x²-1/x²

Answer 1

Answer:

Given that..

x=3+8–√…(1)

⇒1x=3−8√(3)2−(8√)2

⇒1x=3−8–√….(2)

Now adding (1) & (2) we get…

x+1x=(3+8–√)+(3−8–√)

⇒x+1x=6

Now,

x2+1x2

=(x+1x)2–2.x1x

=62–2

=36–2

=34 . (Ans).

Answer 2

Answer:

34

step-by-step explanation:

x = 3+ √8

x = 3+ √8x = (3+√8)(3-√8) / (3-√8)

x = 3+ √8x = (3+√8)(3-√8) / (3-√8)x = (9 -8) / (3-√8)

x = 3+ √8x = (3+√8)(3-√8) / (3-√8)x = (9 -8) / (3-√8)x = 1/ (3 -√8)

x = 3+ √8x = (3+√8)(3-√8) / (3-√8)x = (9 -8) / (3-√8)x = 1/ (3 -√8)Or we can write 1/x = (3-√8)

x = 3+ √8x = (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

x = 3+ √8x = (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 outx² +(1/x²) = x² + (1/x)²

x = 3+ √8x = (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 outx² +(1/x²) = x² + (1/x)²So x² + 1/ x² = (3 +√8)² + (3 -√8)²

x = 3+ √8x = (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 outx² +(1/x²) = x² + (1/x)²So x² + 1/ x² = (3 +√8)² + (3 -√8)²= 9+6√8+8 + 9–6√8+8

x = 3+ √8x = (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 outx² +(1/x²) = x² + (1/x)²So x² + 1/ x² = (3 +√8)² + (3 -√8)²= 9+6√8+8 + 9–6√8+8= 34. Ans.

in negative the Ans also same

hope that u will be satisfied with this answer

please rate my ans as 5