Mathematics

Problem

There is a point

(p,q)

on the graph of

f(x)=x^2

and a point

(r,s)

on the graph of

g(x)=\frac{-8}{x}

where

p>0

and

r>0

. If the line through

(p,q)

and

(r,s)

is also tangent to both the curves at these points, respectively, then the value of

p+r

is.....