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

hard

$33x^2+(33s+r)x+rs=0$. In the given equation, $r$ and $s$ are positive constants. The product of the solutions to the given equation is $krs$, where $k$ is a constant.

What is the value of $k$?

1

1/33

2

.0303

3

0.030

4

.030