Question

The Sum of a number and its reciprocal is 13/6.what is the number?​

Answer 1

Answer:

Expert Verified The sum of a rational number and it's reciprocal is 13/6. Let the number be x. Hence, the required number is 2/3 or 3/2.

Answer 2

Answer:

X = 3/2

Step-by-step explanation:

Let the number be X

Therefore,

$x + \frac{1}{x} = \frac{13}{5}$

$( {x}^{2} + 1) \times 6 = 13x$

$6{x}^{2} - 13x + 6 = 0$

$6{x}^{2} - 9x - 4x + 6 = 0$

On solving

x = 3/2