Question 93011cd

Advanced Math - Nonlinear equations in one variable and systems of equations in two variables

$64 x^{2} - (16 a + 4 b) x + a b = 0$

In the given equation, $a$ and $b$ are positive constants. The sum of the solutions to the given equation is $k left parenthesis 4 a plus b right parenthesis$ , where $k$ is a constant. What is the value of $k$ ?