Question

If x¹⁰⁰+1/x¹⁰⁰=2 then find the value of x
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Answer 1

x+(1/x)=2

Squaring it we get x^2 +(1/x^2)+2=4

henceX^2 +(1/x^2)=2

Subtracting 2 from lhs and rhs

we getX^2 +1/(x^2)-2=0Hence( x-1/x)^2=0Hence x-1/x=0...