Question

x+1/x=2 then x^1000+1/x^1000​

Answer 1

Answer:

it's answer will be 2

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Answer 2

$\frac{x+1}{x} =\frac{x}{x} +\frac{1}{x} =1+\frac{1}{x} =2$

$=> \frac{1}{x} =2$

$(\frac{1}{x} )^{1000} =2^{1000}$

$=>\frac{1}{x^{1000}} =2^{1000}$

we have : $\frac{x^{1000}+1}{x^{1000}} =\frac{x^{1000}}{x^{1000}} +\frac{1}{x^{1000}}$$=1+\frac{1}{x^{1000}}$

replace $\frac{1}{x^{1000}} =2^{1000}$

= $1+2^{1000}$