Question

The sum of a number and its reciprocal is equal to twice the number. What is the number?

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Answer 1

let the number be x,

reciprocal ,=1/x

aq:-

x+1/x=2x

x^2+1/x=2x

x^2+1=2x^2

x^2-2x^2=-1

x^2=1

x=

$\sqrt{1}$

1