Question

The sum of a number and its reciprocal is 5/2. Represent this, situation in the form of a quadratic equation

A) x – 1/x = 5/2

B) x + 1/x = 5/2

C) x + √x = 5/2

D) x² 1/x² = 5/2

Answer 1

Correct option is (B) x + 1/x = 5/2

Let x be a number.

Then its reciprocal is \(\frac1x.\)

Given that sum of number and its reciprocal is \(\frac{5}{2}.\)

\(\therefore\) \(x+\frac{1}{x}=\frac{5}{2}\) which represent the given situation.

Answer 2

Correct option is B) x + 1/x = 5/2