Question

if x =3+√8, then find the value of (x square+1byxsquare

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Answer 1

Step-by-step explanation:

Given: x=3+8–√

Squaring on both sides, we get

x2=(3+8–√)2

x2=9+8+68–√

x2=17+122–√

Then, 1x2=17−122–√

Therefore, x2+1x2=17+122–√+17−122–√

=34

Answer 2

Step-by-step explanation:

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

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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).

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