Question

Find a number such that the sum of the number and its reciprocal is $2$.

Answer 1

Let the number be $x$.

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

or, $x^2+1=2x$

or, $x^2-2x+1=0$

or, $(x-1{)}^2=0$

or, $x=1,1$.

So the number is $1$.