Question 59

The sum of a non-zero number and its reciprocal is 2. What is the number?

Solution

Let the number be $$x$$

According to ques, => $$x + \frac{1}{x} = 2$$

=> $$\frac{x^2 + 1}{x} = 2$$

=> $$x^2 - 2x + 1 = 0$$

=> $$(x - 1)^2 = 0$$

=> $$x = 1$$

=> Ans - (A)


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