Math, asked by sumitrakumari3478, 1 month ago

If x = 3+✓8 then (x^2 + x/2^2)​

Answers

Answered by kavitachauhan062
2

Answer:

34

Step-by-step explanation:

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

Here

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…………...

2nd step

x2+1x2=(x+1x)2−2

=(3+8–√+13+8√)2−2

=(3+8–√+3−8√(3+8√)(3−8√))2−2

=(3+8–√+3−8√9−8)2−2

=(3+8–√+3−8–√)2−2

=(6)2−2

=36−2

=34

hope it will help you

By pari

Answered by smartboy24
0

Answer:

hope it is correct I'm not sure

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