$$27x^2 + (27s+r)x + rs = 0$$ In the given equation, $r$ and $s$ are …

Question

Prompt

27 x^{2} + (27 s + r) x + r s = 0

In the given equation,

r

and

s

are positive constants. The product of the solutions to the given equation is

k r s

, where

k

is a constant. What is the value of

k