$$-5x^2 + 9x + \sqrt{5k+9} x - \sqrt{5k+9} = 0$$ In the given equatio…

Question

Prompt

- 5 x^{2} + 9 x + 5 k + 9 x - 5 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