If the sum of a number and its reciprocal be 2 then the number is = ?

Question: If the sum of a number and its reciprocal be 2 then the number is = ?

Solution:
Let the number be = x
The reciprocal of the number is = 1/x

According to the question,
x + (1/x) = 2
⇒ x² + 1 = 2x
⇒ x² - 2x + 1 = 0
⇒ (x - 1)² = 0
∴ x = 1

Hence, the number = 1