$\frac{4}{9}(4x+9)(x+\sqrt{4k+9})(x-\sqrt{4k+9})=0$ In the given equa…

Question

Prompt

\frac{4}{9} (4 x + 9) (x + 4 k + 9) (x - 4 k + 9) = 0

In the given equation,

k

is a positive constant. The product of the solutions to the equation is

81

. What is the value of

k