vinoddivya057
vinoddivya057 vinoddivya057
  • 25-08-2020
  • Mathematics
contestada

If x is 2+ root 3 then find (x^2+1/x^2) (x^2-1/x^2)

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baileyrd
baileyrd baileyrd
  • 25-08-2020

Answer:

Here  x=2−3–√ ................…………………………………….....(1)

Hence  12−3√=12−3√⋅2+3√2+3√=2+3–√ .....................(2)

From (1) and (2) we get  x+1x=4 .......……………………………....(3)

and  x−1x=−23–√ ...............…………………….………....(4)

From (3) and (4) we get  x2−1x2=(x+1x).(x−1x)=−83–√.

Hoped I helped

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