Question

if x^2+1/x^2=2^3 find the value of x+1/x​

Answer 1

Answer:

X=2-√3, find the value of X^2-1/X^2?

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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–√.