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

hard

$$24x^2-(12a+2b)x+ab=0$$

In the given equation, $a$ and $b$ are positive constants. The sum of the solutions to the given equation is $k(6a+b)$, where $k$ is a constant. What is the value of $k$?

1

1/12

2

.0833

3

0.083