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

hard

$$44x^2+(44b+a)x+ab=0$$
In the given equation, $a$ and $b$ are positive constants. The product of the solutions to the given equation is $kab$, where $k$ is a constant. What is the value of $k$?

A

$\frac{1}{44}$

B

$\frac{1}{11}$

C

1

D

44