The sum of number and its reciprocal is 10/3. find the number.

Open in App

Solution

Let the number be $x$
From the given conditions
$x + \frac{1}{x} = \frac{10}{3}$
$3 x^{2} - 10 x + 3 = 0 ⟹ x = 3, \frac{1}{3}$
The number is $3$ or $\frac{1}{3}$

Suggest Corrections

Similar questions

\frac{10}{3}

\frac{10}{3}

\frac{3}{10}

A.The sum of a whole number and its reciprocal is $\frac{10}{3}$ . Can you guess the number.

B.Seven times the reciprocal of a number added to $\frac{2}{3}$ gives $3$ . what is that number ?

Join BYJU'S Learning Program