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Question

If from a positive number, twice its reciprocal is subtracted, we get 1. Then the number is ___.


  1. 4

  2. 3

  3. 1

  4. 2


Solution

The correct option is D

2


Suppose the number be x
According to the given condition
x2x=1
x22=x
x2x2=0

Using quadratic formula, x=b±b24ac2a

Here, a=1,b=1 and c=2

x=1±1+82
         =1±32
x=2 or1
As the number is positive, ignore negative value.
Hence, x = 2
The required number is 2.

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