Question

The sum of a number and its reciprocal is 2. Find the number.

• A. $2$
• B. $-1$
• C. $1$
• D. $3$

Answer 1

The correct option is C $1$

Let the number be $x$ so its reciprocal will be $\frac{1}{x}$
$\Rightarrow x+\frac{1}{x}=2$
$\Rightarrow x^2+1=2x\Rightarrow x^2-2x+1=0$
$\Rightarrow (x-1{)}^2=0\Rightarrow x=1$
Hence the required number is $1$.