If from a positive number, twice its reciprocal is subtracted, we get 1. Then the number is ___.
2
Suppose the number be x
According to the given condition
x−2x=1
x2−2=x
x2−x−2=0
Using quadratic formula, x=−b±√b2−4ac2a
Here, a=1,b=−1 and c=−2
⇒x=1±√1+82
=1±32
⇒x=2 or−1
As the number is positive, ignore negative value.
Hence, x = 2
∴ The required number is 2.