MathDB

Let

x

be a variable that can take any positive real value. For certain positive real constants

s

and

t

, the value of

x^2 + \frac{s}{x}

is minimized at

x = t

, and the value of

t^2\ln(2 + tx) + \frac{1}{x^2}

is minimized at

x = s

. Compute the ordered pair

(s, t)

Problem Statement