A positive number and its reciprocal add up to .

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

A positive number and its reciprocal add up to

\dfrac{10}{3}

. (a) Form a quadratic equation in

x

to represent this statement, where

x

is the number. (b) Hence, find the possible values of

x