Let and be positive real numbers satisfying .

MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Let

x

and

y

be positive real numbers satisfying

xy = 144

. (i) Express the sum

S = x + y

in terms of the single variable

x

. (ii) Determine the minimum possible value of

S

. (iii) Find the values of

x

and

y

for which this minimum value is attained.